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Finding the Fourth Proportional to 442,117.44, 662,617.80 and 189,097.20

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Solution

The fourth proportional to 442,117.44, 662,617.80 and 189,097.20 is: 283,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,117.44 : 662,617.80 = 189,097.20 : x
  2. Step 2: Convert to fraction form
    442,117.44/662,617.80 = 189,097.20/x
  3. Step 3: Cross multiply
    442,117.44x = 662,617.80 × 189,097.20
  4. Step 4: Simplify right side
    442,117.44x = 125,299,170,650.16
  5. Step 5: Solve for x
    x = 125,299,170,650.16/442,117.44
  6. Step 6: Final answer
    x = 283,406.98

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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.