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Finding the Fourth Proportional to 497,776.98, 746,776.02 and 142,763.70

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Solution

The fourth proportional to 497,776.98, 746,776.02 and 142,763.70 is: 214,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,776.98 : 746,776.02 = 142,763.70 : x
  2. Step 2: Convert to fraction form
    497,776.98/746,776.02 = 142,763.70/x
  3. Step 3: Cross multiply
    497,776.98x = 746,776.02 × 142,763.70
  4. Step 4: Simplify right side
    497,776.98x = 106,612,507,686.47
  5. Step 5: Solve for x
    x = 106,612,507,686.47/497,776.98
  6. Step 6: Final answer
    x = 214,177.26

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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.