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Finding the Fourth Proportional to 287,593.20, 431,389.80 and 77,252.40

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Solution

The fourth proportional to 287,593.20, 431,389.80 and 77,252.40 is: 115,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,593.20 : 431,389.80 = 77,252.40 : x
  2. Step 2: Convert to fraction form
    287,593.20/431,389.80 = 77,252.40/x
  3. Step 3: Cross multiply
    287,593.20x = 431,389.80 × 77,252.40
  4. Step 4: Simplify right side
    287,593.20x = 33,325,897,385.52
  5. Step 5: Solve for x
    x = 33,325,897,385.52/287,593.20
  6. Step 6: Final answer
    x = 115,878.60

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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.