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Finding the Fourth Proportional to 364,034.70, 546,052.05 and 153,909.90

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Solution

The fourth proportional to 364,034.70, 546,052.05 and 153,909.90 is: 230,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,034.70 : 546,052.05 = 153,909.90 : x
  2. Step 2: Convert to fraction form
    364,034.70/546,052.05 = 153,909.90/x
  3. Step 3: Cross multiply
    364,034.70x = 546,052.05 × 153,909.90
  4. Step 4: Simplify right side
    364,034.70x = 84,042,816,410.30
  5. Step 5: Solve for x
    x = 84,042,816,410.30/364,034.70
  6. Step 6: Final answer
    x = 230,864.85

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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.