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Finding the Fourth Proportional to 497,762.22, 746,753.90 and 142,748.94

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Solution

The fourth proportional to 497,762.22, 746,753.90 and 142,748.94 is: 214,155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,762.22 : 746,753.90 = 142,748.94 : x
  2. Step 2: Convert to fraction form
    497,762.22/746,753.90 = 142,748.94/x
  3. Step 3: Cross multiply
    497,762.22x = 746,753.90 × 142,748.94
  4. Step 4: Simplify right side
    497,762.22x = 106,598,327,665.87
  5. Step 5: Solve for x
    x = 106,598,327,665.87/497,762.22
  6. Step 6: Final answer
    x = 214,155.12

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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.