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Finding the Fourth Proportional to 275,807.80, 413,711.70 and 256,124.80

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Solution

The fourth proportional to 275,807.80, 413,711.70 and 256,124.80 is: 384,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,807.80 : 413,711.70 = 256,124.80 : x
  2. Step 2: Convert to fraction form
    275,807.80/413,711.70 = 256,124.80/x
  3. Step 3: Cross multiply
    275,807.80x = 413,711.70 × 256,124.80
  4. Step 4: Simplify right side
    275,807.80x = 105,961,826,420.16
  5. Step 5: Solve for x
    x = 105,961,826,420.16/275,807.80
  6. Step 6: Final answer
    x = 384,187.20

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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.