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Finding the Fourth Proportional to 287,539.20, 431,308.80 and 77,198.40

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Solution

The fourth proportional to 287,539.20, 431,308.80 and 77,198.40 is: 115,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,539.20 : 431,308.80 = 77,198.40 : x
  2. Step 2: Convert to fraction form
    287,539.20/431,308.80 = 77,198.40/x
  3. Step 3: Cross multiply
    287,539.20x = 431,308.80 × 77,198.40
  4. Step 4: Simplify right side
    287,539.20x = 33,296,349,265.92
  5. Step 5: Solve for x
    x = 33,296,349,265.92/287,539.20
  6. Step 6: Final answer
    x = 115,797.60

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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.