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Finding the Fourth Proportional to 482,965.20, 724,159.80 and 296,110.80

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Solution

The fourth proportional to 482,965.20, 724,159.80 and 296,110.80 is: 443,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,965.20 : 724,159.80 = 296,110.80 : x
  2. Step 2: Convert to fraction form
    482,965.20/724,159.80 = 296,110.80/x
  3. Step 3: Cross multiply
    482,965.20x = 724,159.80 × 296,110.80
  4. Step 4: Simplify right side
    482,965.20x = 214,431,537,705.84
  5. Step 5: Solve for x
    x = 214,431,537,705.84/482,965.20
  6. Step 6: Final answer
    x = 443,989.62

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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.