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Finding the Fourth Proportional to 498,442.50, 747,663.75 and 148,234.50

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Solution

The fourth proportional to 498,442.50, 747,663.75 and 148,234.50 is: 222,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,442.50 : 747,663.75 = 148,234.50 : x
  2. Step 2: Convert to fraction form
    498,442.50/747,663.75 = 148,234.50/x
  3. Step 3: Cross multiply
    498,442.50x = 747,663.75 × 148,234.50
  4. Step 4: Simplify right side
    498,442.50x = 110,829,562,149.38
  5. Step 5: Solve for x
    x = 110,829,562,149.38/498,442.50
  6. Step 6: Final answer
    x = 222,351.75

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1.5x scale

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.