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Finding the Fourth Proportional to 924,129, 1,275,301.86 and 500,193

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Solution

The fourth proportional to 924,129, 1,275,301.86 and 500,193 is: 690,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,129 : 1,275,301.86 = 500,193 : x
  2. Step 2: Convert to fraction form
    924,129/1,275,301.86 = 500,193/x
  3. Step 3: Cross multiply
    924,129x = 1,275,301.86 × 500,193
  4. Step 4: Simplify right side
    924,129x = 637,897,063,258.98
  5. Step 5: Solve for x
    x = 637,897,063,258.98/924,129
  6. Step 6: Final answer
    x = 690,268.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.