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Finding the Fourth Proportional to 517,922.68, 714,801.42 and 291,612.28

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Solution

The fourth proportional to 517,922.68, 714,801.42 and 291,612.28 is: 402,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,922.68 : 714,801.42 = 291,612.28 : x
  2. Step 2: Convert to fraction form
    517,922.68/714,801.42 = 291,612.28/x
  3. Step 3: Cross multiply
    517,922.68x = 714,801.42 × 291,612.28
  4. Step 4: Simplify right side
    517,922.68x = 208,444,871,833.44
  5. Step 5: Solve for x
    x = 208,444,871,833.44/517,922.68
  6. Step 6: Final answer
    x = 402,463.30

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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.