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Finding the Fourth Proportional to 406,718.24, 609,954.17 and 122,333.28

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Solution

The fourth proportional to 406,718.24, 609,954.17 and 122,333.28 is: 183,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,718.24 : 609,954.17 = 122,333.28 : x
  2. Step 2: Convert to fraction form
    406,718.24/609,954.17 = 122,333.28/x
  3. Step 3: Cross multiply
    406,718.24x = 609,954.17 × 122,333.28
  4. Step 4: Simplify right side
    406,718.24x = 74,617,691,366.78
  5. Step 5: Solve for x
    x = 74,617,691,366.78/406,718.24
  6. Step 6: Final answer
    x = 183,462.86

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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.