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Finding the Fourth Proportional to 516,705.52, 713,056.40 and 284,147.46

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Solution

The fourth proportional to 516,705.52, 713,056.40 and 284,147.46 is: 392,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,705.52 : 713,056.40 = 284,147.46 : x
  2. Step 2: Convert to fraction form
    516,705.52/713,056.40 = 284,147.46/x
  3. Step 3: Cross multiply
    516,705.52x = 713,056.40 × 284,147.46
  4. Step 4: Simplify right side
    516,705.52x = 202,613,164,943.66
  5. Step 5: Solve for x
    x = 202,613,164,943.66/516,705.52
  6. Step 6: Final answer
    x = 392,125.02

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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.