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Finding the Fourth Proportional to 546,706.44, 820,117.98 and 231,195.24

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Solution

The fourth proportional to 546,706.44, 820,117.98 and 231,195.24 is: 346,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,706.44 : 820,117.98 = 231,195.24 : x
  2. Step 2: Convert to fraction form
    546,706.44/820,117.98 = 231,195.24/x
  3. Step 3: Cross multiply
    546,706.44x = 820,117.98 × 231,195.24
  4. Step 4: Simplify right side
    546,706.44x = 189,607,373,214.42
  5. Step 5: Solve for x
    x = 189,607,373,214.42/546,706.44
  6. Step 6: Final answer
    x = 346,817.52

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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.