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Finding the Fourth Proportional to 322,948.74, 484,447.92 and 98,328.42

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Solution

The fourth proportional to 322,948.74, 484,447.92 and 98,328.42 is: 147,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,948.74 : 484,447.92 = 98,328.42 : x
  2. Step 2: Convert to fraction form
    322,948.74/484,447.92 = 98,328.42/x
  3. Step 3: Cross multiply
    322,948.74x = 484,447.92 × 98,328.42
  4. Step 4: Simplify right side
    322,948.74x = 47,634,998,545.89
  5. Step 5: Solve for x
    x = 47,634,998,545.89/322,948.74
  6. Step 6: Final answer
    x = 147,500.18

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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.