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Finding the Fourth Proportional to 433,842.62, 650,365.38 and 149,465.61

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Solution

The fourth proportional to 433,842.62, 650,365.38 and 149,465.61 is: 224,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,842.62 : 650,365.38 = 149,465.61 : x
  2. Step 2: Convert to fraction form
    433,842.62/650,365.38 = 149,465.61/x
  3. Step 3: Cross multiply
    433,842.62x = 650,365.38 × 149,465.61
  4. Step 4: Simplify right side
    433,842.62x = 97,207,258,244.58
  5. Step 5: Solve for x
    x = 97,207,258,244.58/433,842.62
  6. Step 6: Final answer
    x = 224,061.11

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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.