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Finding the Fourth Proportional to 287,575.20, 431,362.80 and 145,857.60

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Solution

The fourth proportional to 287,575.20, 431,362.80 and 145,857.60 is: 218,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,575.20 : 431,362.80 = 145,857.60 : x
  2. Step 2: Convert to fraction form
    287,575.20/431,362.80 = 145,857.60/x
  3. Step 3: Cross multiply
    287,575.20x = 431,362.80 × 145,857.60
  4. Step 4: Simplify right side
    287,575.20x = 62,917,542,737.28
  5. Step 5: Solve for x
    x = 62,917,542,737.28/287,575.20
  6. Step 6: Final answer
    x = 218,786.40

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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.