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Finding the Fourth Proportional to 415,765.80, 623,663.10 and 131,459.40

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Solution

The fourth proportional to 415,765.80, 623,663.10 and 131,459.40 is: 197,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,765.80 : 623,663.10 = 131,459.40 : x
  2. Step 2: Convert to fraction form
    415,765.80/623,663.10 = 131,459.40/x
  3. Step 3: Cross multiply
    415,765.80x = 623,663.10 × 131,459.40
  4. Step 4: Simplify right side
    415,765.80x = 81,986,376,928.14
  5. Step 5: Solve for x
    x = 81,986,376,928.14/415,765.80
  6. Step 6: Final answer
    x = 197,193.65

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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.