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Finding the Fourth Proportional to 408,048.15, 611,470.80 and 295,964.40

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Solution

The fourth proportional to 408,048.15, 611,470.80 and 295,964.40 is: 443,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,048.15 : 611,470.80 = 295,964.40 : x
  2. Step 2: Convert to fraction form
    408,048.15/611,470.80 = 295,964.40/x
  3. Step 3: Cross multiply
    408,048.15x = 611,470.80 × 295,964.40
  4. Step 4: Simplify right side
    408,048.15x = 180,973,588,439.52
  5. Step 5: Solve for x
    x = 180,973,588,439.52/408,048.15
  6. Step 6: Final answer
    x = 443,510.38

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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.