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Finding the Fourth Proportional to 433,719.73, 650,454.75 and 149,398.80

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Solution

The fourth proportional to 433,719.73, 650,454.75 and 149,398.80 is: 224,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,719.73 : 650,454.75 = 149,398.80 : x
  2. Step 2: Convert to fraction form
    433,719.73/650,454.75 = 149,398.80/x
  3. Step 3: Cross multiply
    433,719.73x = 650,454.75 × 149,398.80
  4. Step 4: Simplify right side
    433,719.73x = 97,177,156,665.09
  5. Step 5: Solve for x
    x = 97,177,156,665.09/433,719.73
  6. Step 6: Final answer
    x = 224,055.19

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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.