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Finding the Fourth Proportional to 462,207.90, 693,311.85 and 335,252.55

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Solution

The fourth proportional to 462,207.90, 693,311.85 and 335,252.55 is: 502,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,207.90 : 693,311.85 = 335,252.55 : x
  2. Step 2: Convert to fraction form
    462,207.90/693,311.85 = 335,252.55/x
  3. Step 3: Cross multiply
    462,207.90x = 693,311.85 × 335,252.55
  4. Step 4: Simplify right side
    462,207.90x = 232,434,565,657.72
  5. Step 5: Solve for x
    x = 232,434,565,657.72/462,207.90
  6. Step 6: Final answer
    x = 502,878.83

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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.