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Finding the Fourth Proportional to 408,077.80, 611,825.10 and 183,254.20

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Solution

The fourth proportional to 408,077.80, 611,825.10 and 183,254.20 is: 274,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,077.80 : 611,825.10 = 183,254.20 : x
  2. Step 2: Convert to fraction form
    408,077.80/611,825.10 = 183,254.20/x
  3. Step 3: Cross multiply
    408,077.80x = 611,825.10 × 183,254.20
  4. Step 4: Simplify right side
    408,077.80x = 112,119,519,240.42
  5. Step 5: Solve for x
    x = 112,119,519,240.42/408,077.80
  6. Step 6: Final answer
    x = 274,750.35

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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.