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Finding the Fourth Proportional to 546,841.32, 820,349.46 and 231,300.96

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Solution

The fourth proportional to 546,841.32, 820,349.46 and 231,300.96 is: 346,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,841.32 : 820,349.46 = 231,300.96 : x
  2. Step 2: Convert to fraction form
    546,841.32/820,349.46 = 231,300.96/x
  3. Step 3: Cross multiply
    546,841.32x = 820,349.46 × 231,300.96
  4. Step 4: Simplify right side
    546,841.32x = 189,747,617,633.48
  5. Step 5: Solve for x
    x = 189,747,617,633.48/546,841.32
  6. Step 6: Final answer
    x = 346,988.44

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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.