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Finding the Fourth Proportional to 686,253.17, 946,802.40 and 414,217.73

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Solution

The fourth proportional to 686,253.17, 946,802.40 and 414,217.73 is: 571,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,253.17 : 946,802.40 = 414,217.73 : x
  2. Step 2: Convert to fraction form
    686,253.17/946,802.40 = 414,217.73/x
  3. Step 3: Cross multiply
    686,253.17x = 946,802.40 × 414,217.73
  4. Step 4: Simplify right side
    686,253.17x = 392,182,340,886.55
  5. Step 5: Solve for x
    x = 392,182,340,886.55/686,253.17
  6. Step 6: Final answer
    x = 571,483.47

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.