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Finding the Fourth Proportional to 433,312.97, 650,123.28 and 193,405.04

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Solution

The fourth proportional to 433,312.97, 650,123.28 and 193,405.04 is: 290,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,312.97 : 650,123.28 = 193,405.04 : x
  2. Step 2: Convert to fraction form
    433,312.97/650,123.28 = 193,405.04/x
  3. Step 3: Cross multiply
    433,312.97x = 650,123.28 × 193,405.04
  4. Step 4: Simplify right side
    433,312.97x = 125,737,115,722.72
  5. Step 5: Solve for x
    x = 125,737,115,722.72/433,312.97
  6. Step 6: Final answer
    x = 290,176.21

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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.