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Finding the Fourth Proportional to 551,778.05, 827,535.86 and 152,409.98

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Solution

The fourth proportional to 551,778.05, 827,535.86 and 152,409.98 is: 228,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,778.05 : 827,535.86 = 152,409.98 : x
  2. Step 2: Convert to fraction form
    551,778.05/827,535.86 = 152,409.98/x
  3. Step 3: Cross multiply
    551,778.05x = 827,535.86 × 152,409.98
  4. Step 4: Simplify right side
    551,778.05x = 126,124,725,750.21
  5. Step 5: Solve for x
    x = 126,124,725,750.21/551,778.05
  6. Step 6: Final answer
    x = 228,578.73

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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.