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Finding the Fourth Proportional to 498,697.96, 747,548.14 and 178,762.84

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Solution

The fourth proportional to 498,697.96, 747,548.14 and 178,762.84 is: 267,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,697.96 : 747,548.14 = 178,762.84 : x
  2. Step 2: Convert to fraction form
    498,697.96/747,548.14 = 178,762.84/x
  3. Step 3: Cross multiply
    498,697.96x = 747,548.14 × 178,762.84
  4. Step 4: Simplify right side
    498,697.96x = 133,633,828,543.12
  5. Step 5: Solve for x
    x = 133,633,828,543.12/498,697.96
  6. Step 6: Final answer
    x = 267,965.46

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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.