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Finding the Fourth Proportional to 435,819.30, 601,446.06 and 242,230.87

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Solution

The fourth proportional to 435,819.30, 601,446.06 and 242,230.87 is: 334,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,819.30 : 601,446.06 = 242,230.87 : x
  2. Step 2: Convert to fraction form
    435,819.30/601,446.06 = 242,230.87/x
  3. Step 3: Cross multiply
    435,819.30x = 601,446.06 × 242,230.87
  4. Step 4: Simplify right side
    435,819.30x = 145,688,801,160.72
  5. Step 5: Solve for x
    x = 145,688,801,160.72/435,819.30
  6. Step 6: Final answer
    x = 334,287.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.