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Finding the Fourth Proportional to 924,193, 1,386,447.13 and 412,043.98

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Solution

The fourth proportional to 924,193, 1,386,447.13 and 412,043.98 is: 618,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,193 : 1,386,447.13 = 412,043.98 : x
  2. Step 2: Convert to fraction form
    924,193/1,386,447.13 = 412,043.98/x
  3. Step 3: Cross multiply
    924,193x = 1,386,447.13 × 412,043.98
  4. Step 4: Simplify right side
    924,193x = 571,277,193,504.78
  5. Step 5: Solve for x
    x = 571,277,193,504.78/924,193
  6. Step 6: Final answer
    x = 618,136.25

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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.