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Finding the Fourth Proportional to 610,442.70, 916,101.45 and 343,920.30

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Solution

The fourth proportional to 610,442.70, 916,101.45 and 343,920.30 is: 516,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,442.70 : 916,101.45 = 343,920.30 : x
  2. Step 2: Convert to fraction form
    610,442.70/916,101.45 = 343,920.30/x
  3. Step 3: Cross multiply
    610,442.70x = 916,101.45 × 343,920.30
  4. Step 4: Simplify right side
    610,442.70x = 315,065,885,514.44
  5. Step 5: Solve for x
    x = 315,065,885,514.44/610,442.70
  6. Step 6: Final answer
    x = 516,126.88

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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.