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Finding the Fourth Proportional to 433,369.59, 650,143.05 and 149,023.22

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Solution

The fourth proportional to 433,369.59, 650,143.05 and 149,023.22 is: 223,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,369.59 : 650,143.05 = 149,023.22 : x
  2. Step 2: Convert to fraction form
    433,369.59/650,143.05 = 149,023.22/x
  3. Step 3: Cross multiply
    433,369.59x = 650,143.05 × 149,023.22
  4. Step 4: Simplify right side
    433,369.59x = 96,886,406,962.07
  5. Step 5: Solve for x
    x = 96,886,406,962.07/433,369.59
  6. Step 6: Final answer
    x = 223,565.31

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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.