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Finding the Fourth Proportional to 408,855.88, 564,182.04 and 301,483.92

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Solution

The fourth proportional to 408,855.88, 564,182.04 and 301,483.92 is: 416,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,855.88 : 564,182.04 = 301,483.92 : x
  2. Step 2: Convert to fraction form
    408,855.88/564,182.04 = 301,483.92/x
  3. Step 3: Cross multiply
    408,855.88x = 564,182.04 × 301,483.92
  4. Step 4: Simplify right side
    408,855.88x = 170,091,813,012.80
  5. Step 5: Solve for x
    x = 170,091,813,012.80/408,855.88
  6. Step 6: Final answer
    x = 416,019.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.