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Finding the Fourth Proportional to 285,560.40, 428,340.60 and 180,037.20

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Solution

The fourth proportional to 285,560.40, 428,340.60 and 180,037.20 is: 270,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,560.40 : 428,340.60 = 180,037.20 : x
  2. Step 2: Convert to fraction form
    285,560.40/428,340.60 = 180,037.20/x
  3. Step 3: Cross multiply
    285,560.40x = 428,340.60 × 180,037.20
  4. Step 4: Simplify right side
    285,560.40x = 77,117,242,270.32
  5. Step 5: Solve for x
    x = 77,117,242,270.32/285,560.40
  6. Step 6: Final answer
    x = 270,055.80

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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.