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Finding the Fourth Proportional to 482,974.80, 724,458.60 and 146,014.80

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Solution

The fourth proportional to 482,974.80, 724,458.60 and 146,014.80 is: 219,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,974.80 : 724,458.60 = 146,014.80 : x
  2. Step 2: Convert to fraction form
    482,974.80/724,458.60 = 146,014.80/x
  3. Step 3: Cross multiply
    482,974.80x = 724,458.60 × 146,014.80
  4. Step 4: Simplify right side
    482,974.80x = 105,781,677,587.28
  5. Step 5: Solve for x
    x = 105,781,677,587.28/482,974.80
  6. Step 6: Final answer
    x = 219,021.11

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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.