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Finding the Fourth Proportional to 517,460.52, 714,092.58 and 291,107.88

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Solution

The fourth proportional to 517,460.52, 714,092.58 and 291,107.88 is: 401,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,460.52 : 714,092.58 = 291,107.88 : x
  2. Step 2: Convert to fraction form
    517,460.52/714,092.58 = 291,107.88/x
  3. Step 3: Cross multiply
    517,460.52x = 714,092.58 × 291,107.88
  4. Step 4: Simplify right side
    517,460.52x = 207,877,977,087.53
  5. Step 5: Solve for x
    x = 207,877,977,087.53/517,460.52
  6. Step 6: Final answer
    x = 401,727.22

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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.