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Finding the Fourth Proportional to 411,805.12, 617,631.56 and 127,442.64

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Solution

The fourth proportional to 411,805.12, 617,631.56 and 127,442.64 is: 191,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,805.12 : 617,631.56 = 127,442.64 : x
  2. Step 2: Convert to fraction form
    411,805.12/617,631.56 = 127,442.64/x
  3. Step 3: Cross multiply
    411,805.12x = 617,631.56 × 127,442.64
  4. Step 4: Simplify right side
    411,805.12x = 78,712,596,553.72
  5. Step 5: Solve for x
    x = 78,712,596,553.72/411,805.12
  6. Step 6: Final answer
    x = 191,140.40

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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.