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Finding the Fourth Proportional to 433,312.29, 650,122.26 and 193,404.34

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Solution

The fourth proportional to 433,312.29, 650,122.26 and 193,404.34 is: 290,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,312.29 : 650,122.26 = 193,404.34 : x
  2. Step 2: Convert to fraction form
    433,312.29/650,122.26 = 193,404.34/x
  3. Step 3: Cross multiply
    433,312.29x = 650,122.26 × 193,404.34
  4. Step 4: Simplify right side
    433,312.29x = 125,736,466,614.61
  5. Step 5: Solve for x
    x = 125,736,466,614.61/433,312.29
  6. Step 6: Final answer
    x = 290,175.17

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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.