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Finding the Fourth Proportional to 482,894.20, 724,053.30 and 296,039.80

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Solution

The fourth proportional to 482,894.20, 724,053.30 and 296,039.80 is: 443,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,894.20 : 724,053.30 = 296,039.80 : x
  2. Step 2: Convert to fraction form
    482,894.20/724,053.30 = 296,039.80/x
  3. Step 3: Cross multiply
    482,894.20x = 724,053.30 × 296,039.80
  4. Step 4: Simplify right side
    482,894.20x = 214,348,594,121.34
  5. Step 5: Solve for x
    x = 214,348,594,121.34/482,894.20
  6. Step 6: Final answer
    x = 443,883.14

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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.