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Finding the Fourth Proportional to 517,210.01, 713,731.91 and 284,615.27

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Solution

The fourth proportional to 517,210.01, 713,731.91 and 284,615.27 is: 392,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,210.01 : 713,731.91 = 284,615.27 : x
  2. Step 2: Convert to fraction form
    517,210.01/713,731.91 = 284,615.27/x
  3. Step 3: Cross multiply
    517,210.01x = 713,731.91 × 284,615.27
  4. Step 4: Simplify right side
    517,210.01x = 203,138,997,957.02
  5. Step 5: Solve for x
    x = 203,138,997,957.02/517,210.01
  6. Step 6: Final answer
    x = 392,759.22

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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.