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Finding the Fourth Proportional to 287,454.76, 431,149.11 and 77,076.16

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Solution

The fourth proportional to 287,454.76, 431,149.11 and 77,076.16 is: 115,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,454.76 : 431,149.11 = 77,076.16 : x
  2. Step 2: Convert to fraction form
    287,454.76/431,149.11 = 77,076.16/x
  3. Step 3: Cross multiply
    287,454.76x = 431,149.11 × 77,076.16
  4. Step 4: Simplify right side
    287,454.76x = 33,231,317,786.22
  5. Step 5: Solve for x
    x = 33,231,317,786.22/287,454.76
  6. Step 6: Final answer
    x = 115,605.38

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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.