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Finding the Fourth Proportional to 517,873.12, 714,569.52 and 291,470.56

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Solution

The fourth proportional to 517,873.12, 714,569.52 and 291,470.56 is: 402,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,873.12 : 714,569.52 = 291,470.56 : x
  2. Step 2: Convert to fraction form
    517,873.12/714,569.52 = 291,470.56/x
  3. Step 3: Cross multiply
    517,873.12x = 714,569.52 × 291,470.56
  4. Step 4: Simplify right side
    517,873.12x = 208,275,978,153.33
  5. Step 5: Solve for x
    x = 208,275,978,153.33/517,873.12
  6. Step 6: Final answer
    x = 402,175.69

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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.