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Finding the Fourth Proportional to 406,432.89, 560,524.86 and 304,687.98

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Solution

The fourth proportional to 406,432.89, 560,524.86 and 304,687.98 is: 420,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,432.89 : 560,524.86 = 304,687.98 : x
  2. Step 2: Convert to fraction form
    406,432.89/560,524.86 = 304,687.98/x
  3. Step 3: Cross multiply
    406,432.89x = 560,524.86 × 304,687.98
  4. Step 4: Simplify right side
    406,432.89x = 170,785,187,333.18
  5. Step 5: Solve for x
    x = 170,785,187,333.18/406,432.89
  6. Step 6: Final answer
    x = 420,205.13

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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.