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Finding the Fourth Proportional to 452,565.60, 679,237.20 and 200,234.40

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Solution

The fourth proportional to 452,565.60, 679,237.20 and 200,234.40 is: 300,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,565.60 : 679,237.20 = 200,234.40 : x
  2. Step 2: Convert to fraction form
    452,565.60/679,237.20 = 200,234.40/x
  3. Step 3: Cross multiply
    452,565.60x = 679,237.20 × 200,234.40
  4. Step 4: Simplify right side
    452,565.60x = 136,006,653,199.68
  5. Step 5: Solve for x
    x = 136,006,653,199.68/452,565.60
  6. Step 6: Final answer
    x = 300,523.62

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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.