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Finding the Fourth Proportional to 287,575.92, 431,366.61 and 77,213.86

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Solution

The fourth proportional to 287,575.92, 431,366.61 and 77,213.86 is: 115,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,575.92 : 431,366.61 = 77,213.86 : x
  2. Step 2: Convert to fraction form
    287,575.92/431,366.61 = 77,213.86/x
  3. Step 3: Cross multiply
    287,575.92x = 431,366.61 × 77,213.86
  4. Step 4: Simplify right side
    287,575.92x = 33,307,480,244.35
  5. Step 5: Solve for x
    x = 33,307,480,244.35/287,575.92
  6. Step 6: Final answer
    x = 115,821.52

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1.5x scale

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.