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Finding the Fourth Proportional to 653,724.86, 902,133.92 and 363,337.07

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Solution

The fourth proportional to 653,724.86, 902,133.92 and 363,337.07 is: 501,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,724.86 : 902,133.92 = 363,337.07 : x
  2. Step 2: Convert to fraction form
    653,724.86/902,133.92 = 363,337.07/x
  3. Step 3: Cross multiply
    653,724.86x = 902,133.92 × 363,337.07
  4. Step 4: Simplify right side
    653,724.86x = 327,778,691,638.09
  5. Step 5: Solve for x
    x = 327,778,691,638.09/653,724.86
  6. Step 6: Final answer
    x = 501,401.61

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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.