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Finding the Fourth Proportional to 516,680, 713,366.34 and 462,062.71

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Solution

The fourth proportional to 516,680, 713,366.34 and 462,062.71 is: 637,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,680 : 713,366.34 = 462,062.71 : x
  2. Step 2: Convert to fraction form
    516,680/713,366.34 = 462,062.71/x
  3. Step 3: Cross multiply
    516,680x = 713,366.34 × 462,062.71
  4. Step 4: Simplify right side
    516,680x = 329,619,984,283.18
  5. Step 5: Solve for x
    x = 329,619,984,283.18/516,680
  6. Step 6: Final answer
    x = 637,957.70

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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.