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Finding the Fourth Proportional to 408,149.04, 563,526 and 255,253.44

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Solution

The fourth proportional to 408,149.04, 563,526 and 255,253.44 is: 352,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,149.04 : 563,526 = 255,253.44 : x
  2. Step 2: Convert to fraction form
    408,149.04/563,526 = 255,253.44/x
  3. Step 3: Cross multiply
    408,149.04x = 563,526 × 255,253.44
  4. Step 4: Simplify right side
    408,149.04x = 143,841,950,029.44
  5. Step 5: Solve for x
    x = 143,841,950,029.44/408,149.04
  6. Step 6: Final answer
    x = 352,425.06

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1.5x scale

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.