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Finding the Fourth Proportional to 287,565.60, 431,024.40 and 137,877.60

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Solution

The fourth proportional to 287,565.60, 431,024.40 and 137,877.60 is: 206,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,565.60 : 431,024.40 = 137,877.60 : x
  2. Step 2: Convert to fraction form
    287,565.60/431,024.40 = 137,877.60/x
  3. Step 3: Cross multiply
    287,565.60x = 431,024.40 × 137,877.60
  4. Step 4: Simplify right side
    287,565.60x = 59,428,609,813.44
  5. Step 5: Solve for x
    x = 59,428,609,813.44/287,565.60
  6. Step 6: Final answer
    x = 206,661.05

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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.