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Finding the Fourth Proportional to 482,688.60, 724,292.10 and 202,234.20

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Solution

The fourth proportional to 482,688.60, 724,292.10 and 202,234.20 is: 303,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,688.60 : 724,292.10 = 202,234.20 : x
  2. Step 2: Convert to fraction form
    482,688.60/724,292.10 = 202,234.20/x
  3. Step 3: Cross multiply
    482,688.60x = 724,292.10 × 202,234.20
  4. Step 4: Simplify right side
    482,688.60x = 146,476,633,409.82
  5. Step 5: Solve for x
    x = 146,476,633,409.82/482,688.60
  6. Step 6: Final answer
    x = 303,459.90

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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.