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Finding the Fourth Proportional to 452,961.40, 679,269.30 and 137,313.40

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Solution

The fourth proportional to 452,961.40, 679,269.30 and 137,313.40 is: 205,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,961.40 : 679,269.30 = 137,313.40 : x
  2. Step 2: Convert to fraction form
    452,961.40/679,269.30 = 137,313.40/x
  3. Step 3: Cross multiply
    452,961.40x = 679,269.30 × 137,313.40
  4. Step 4: Simplify right side
    452,961.40x = 93,272,777,098.62
  5. Step 5: Solve for x
    x = 93,272,777,098.62/452,961.40
  6. Step 6: Final answer
    x = 205,917.72

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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.