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Finding the Fourth Proportional to 517,456.74, 714,089.18 and 291,102.24

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Solution

The fourth proportional to 517,456.74, 714,089.18 and 291,102.24 is: 401,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,456.74 : 714,089.18 = 291,102.24 : x
  2. Step 2: Convert to fraction form
    517,456.74/714,089.18 = 291,102.24/x
  3. Step 3: Cross multiply
    517,456.74x = 714,089.18 × 291,102.24
  4. Step 4: Simplify right side
    517,456.74x = 207,872,959,857.76
  5. Step 5: Solve for x
    x = 207,872,959,857.76/517,456.74
  6. Step 6: Final answer
    x = 401,720.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.