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Finding the Fourth Proportional to 686,145.53, 946,930.70 and 414,279.56

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Solution

The fourth proportional to 686,145.53, 946,930.70 and 414,279.56 is: 571,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,145.53 : 946,930.70 = 414,279.56 : x
  2. Step 2: Convert to fraction form
    686,145.53/946,930.70 = 414,279.56/x
  3. Step 3: Cross multiply
    686,145.53x = 946,930.70 × 414,279.56
  4. Step 4: Simplify right side
    686,145.53x = 392,294,033,746.49
  5. Step 5: Solve for x
    x = 392,294,033,746.49/686,145.53
  6. Step 6: Final answer
    x = 571,735.90

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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.