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Finding the Fourth Proportional to 442,901.40, 664,244.10 and 127,325.40

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Solution

The fourth proportional to 442,901.40, 664,244.10 and 127,325.40 is: 190,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,901.40 : 664,244.10 = 127,325.40 : x
  2. Step 2: Convert to fraction form
    442,901.40/664,244.10 = 127,325.40/x
  3. Step 3: Cross multiply
    442,901.40x = 664,244.10 × 127,325.40
  4. Step 4: Simplify right side
    442,901.40x = 84,575,145,730.14
  5. Step 5: Solve for x
    x = 84,575,145,730.14/442,901.40
  6. Step 6: Final answer
    x = 190,957.05

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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.