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Finding the Fourth Proportional to 497,744.90, 746,726.70 and 160,728.20

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Solution

The fourth proportional to 497,744.90, 746,726.70 and 160,728.20 is: 241,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,744.90 : 746,726.70 = 160,728.20 : x
  2. Step 2: Convert to fraction form
    497,744.90/746,726.70 = 160,728.20/x
  3. Step 3: Cross multiply
    497,744.90x = 746,726.70 × 160,728.20
  4. Step 4: Simplify right side
    497,744.90x = 120,020,038,382.94
  5. Step 5: Solve for x
    x = 120,020,038,382.94/497,744.90
  6. Step 6: Final answer
    x = 241,127.61

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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.