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Finding the Fourth Proportional to 506,193.32, 698,561.36 and 279,853.40

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Solution

The fourth proportional to 506,193.32, 698,561.36 and 279,853.40 is: 386,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,193.32 : 698,561.36 = 279,853.40 : x
  2. Step 2: Convert to fraction form
    506,193.32/698,561.36 = 279,853.40/x
  3. Step 3: Cross multiply
    506,193.32x = 698,561.36 × 279,853.40
  4. Step 4: Simplify right side
    506,193.32x = 195,494,771,704.62
  5. Step 5: Solve for x
    x = 195,494,771,704.62/506,193.32
  6. Step 6: Final answer
    x = 386,205.75

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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.