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Finding the Fourth Proportional to 551,780.05, 827,538.86 and 152,411.98

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Solution

The fourth proportional to 551,780.05, 827,538.86 and 152,411.98 is: 228,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,780.05 : 827,538.86 = 152,411.98 : x
  2. Step 2: Convert to fraction form
    551,780.05/827,538.86 = 152,411.98/x
  3. Step 3: Cross multiply
    551,780.05x = 827,538.86 × 152,411.98
  4. Step 4: Simplify right side
    551,780.05x = 126,126,836,179.54
  5. Step 5: Solve for x
    x = 126,126,836,179.54/551,780.05
  6. Step 6: Final answer
    x = 228,581.73

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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.