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Finding the Fourth Proportional to 668,158.34, 1,002,404.75 and 194,843.75

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Solution

The fourth proportional to 668,158.34, 1,002,404.75 and 194,843.75 is: 292,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,158.34 : 1,002,404.75 = 194,843.75 : x
  2. Step 2: Convert to fraction form
    668,158.34/1,002,404.75 = 194,843.75/x
  3. Step 3: Cross multiply
    668,158.34x = 1,002,404.75 × 194,843.75
  4. Step 4: Simplify right side
    668,158.34x = 195,312,294,521.57
  5. Step 5: Solve for x
    x = 195,312,294,521.57/668,158.34
  6. Step 6: Final answer
    x = 292,314.39

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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.