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Finding the Fourth Proportional to 360,499, 541,073.49 and 192,159.52

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Solution

The fourth proportional to 360,499, 541,073.49 and 192,159.52 is: 288,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,499 : 541,073.49 = 192,159.52 : x
  2. Step 2: Convert to fraction form
    360,499/541,073.49 = 192,159.52/x
  3. Step 3: Cross multiply
    360,499x = 541,073.49 × 192,159.52
  4. Step 4: Simplify right side
    360,499x = 103,972,422,123.13
  5. Step 5: Solve for x
    x = 103,972,422,123.13/360,499
  6. Step 6: Final answer
    x = 288,412.51

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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.