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Finding the Fourth Proportional to 287,563.20, 431,344.80 and 77,222.40

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Solution

The fourth proportional to 287,563.20, 431,344.80 and 77,222.40 is: 115,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,563.20 : 431,344.80 = 77,222.40 : x
  2. Step 2: Convert to fraction form
    287,563.20/431,344.80 = 77,222.40/x
  3. Step 3: Cross multiply
    287,563.20x = 431,344.80 × 77,222.40
  4. Step 4: Simplify right side
    287,563.20x = 33,309,480,683.52
  5. Step 5: Solve for x
    x = 33,309,480,683.52/287,563.20
  6. Step 6: Final answer
    x = 115,833.60

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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.