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Finding the Fourth Proportional to 495,767.64, 743,645.52 and 180,221.88

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Solution

The fourth proportional to 495,767.64, 743,645.52 and 180,221.88 is: 270,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,767.64 : 743,645.52 = 180,221.88 : x
  2. Step 2: Convert to fraction form
    495,767.64/743,645.52 = 180,221.88/x
  3. Step 3: Cross multiply
    495,767.64x = 743,645.52 × 180,221.88
  4. Step 4: Simplify right side
    495,767.64x = 134,021,193,667.98
  5. Step 5: Solve for x
    x = 134,021,193,667.98/495,767.64
  6. Step 6: Final answer
    x = 270,330.66

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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.