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Finding the Fourth Proportional to 506,962.60, 760,443.90 and 133,023.40

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Solution

The fourth proportional to 506,962.60, 760,443.90 and 133,023.40 is: 199,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,962.60 : 760,443.90 = 133,023.40 : x
  2. Step 2: Convert to fraction form
    506,962.60/760,443.90 = 133,023.40/x
  3. Step 3: Cross multiply
    506,962.60x = 760,443.90 × 133,023.40
  4. Step 4: Simplify right side
    506,962.60x = 101,156,833,087.26
  5. Step 5: Solve for x
    x = 101,156,833,087.26/506,962.60
  6. Step 6: Final answer
    x = 199,535.10

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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.