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Finding the Fourth Proportional to 361,002.96, 542,001.36 and 183,630

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Solution

The fourth proportional to 361,002.96, 542,001.36 and 183,630 is: 275,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,002.96 : 542,001.36 = 183,630 : x
  2. Step 2: Convert to fraction form
    361,002.96/542,001.36 = 183,630/x
  3. Step 3: Cross multiply
    361,002.96x = 542,001.36 × 183,630
  4. Step 4: Simplify right side
    361,002.96x = 99,527,709,736.80
  5. Step 5: Solve for x
    x = 99,527,709,736.80/361,002.96
  6. Step 6: Final answer
    x = 275,697.77

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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.