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Finding the Fourth Proportional to 686,325.14, 947,185.37 and 380,497.43

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Solution

The fourth proportional to 686,325.14, 947,185.37 and 380,497.43 is: 525,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,325.14 : 947,185.37 = 380,497.43 : x
  2. Step 2: Convert to fraction form
    686,325.14/947,185.37 = 380,497.43/x
  3. Step 3: Cross multiply
    686,325.14x = 947,185.37 × 380,497.43
  4. Step 4: Simplify right side
    686,325.14x = 360,401,599,484.08
  5. Step 5: Solve for x
    x = 360,401,599,484.08/686,325.14
  6. Step 6: Final answer
    x = 525,117.88

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Double scale
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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.