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Finding the Fourth Proportional to 410,175.90, 614,279.70 and 199,567.80

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Solution

The fourth proportional to 410,175.90, 614,279.70 and 199,567.80 is: 298,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,175.90 : 614,279.70 = 199,567.80 : x
  2. Step 2: Convert to fraction form
    410,175.90/614,279.70 = 199,567.80/x
  3. Step 3: Cross multiply
    410,175.90x = 614,279.70 × 199,567.80
  4. Step 4: Simplify right side
    410,175.90x = 122,590,448,313.66
  5. Step 5: Solve for x
    x = 122,590,448,313.66/410,175.90
  6. Step 6: Final answer
    x = 298,872.87

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1.5x scale

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.