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Finding the Fourth Proportional to 497,695.32, 746,717.94 and 217,176.12

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Solution

The fourth proportional to 497,695.32, 746,717.94 and 217,176.12 is: 325,840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,695.32 : 746,717.94 = 217,176.12 : x
  2. Step 2: Convert to fraction form
    497,695.32/746,717.94 = 217,176.12/x
  3. Step 3: Cross multiply
    497,695.32x = 746,717.94 × 217,176.12
  4. Step 4: Simplify right side
    497,695.32x = 162,169,304,943.59
  5. Step 5: Solve for x
    x = 162,169,304,943.59/497,695.32
  6. Step 6: Final answer
    x = 325,840.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.