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Finding the Fourth Proportional to 498,285.09, 747,545.90 and 161,325.77

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Solution

The fourth proportional to 498,285.09, 747,545.90 and 161,325.77 is: 242,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,285.09 : 747,545.90 = 161,325.77 : x
  2. Step 2: Convert to fraction form
    498,285.09/747,545.90 = 161,325.77/x
  3. Step 3: Cross multiply
    498,285.09x = 747,545.90 × 161,325.77
  4. Step 4: Simplify right side
    498,285.09x = 120,598,413,383.49
  5. Step 5: Solve for x
    x = 120,598,413,383.49/498,285.09
  6. Step 6: Final answer
    x = 242,026.94

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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.