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Finding the Fourth Proportional to 299,441.76, 413,218.80 and 165,302.88

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Solution

The fourth proportional to 299,441.76, 413,218.80 and 165,302.88 is: 228,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,441.76 : 413,218.80 = 165,302.88 : x
  2. Step 2: Convert to fraction form
    299,441.76/413,218.80 = 165,302.88/x
  3. Step 3: Cross multiply
    299,441.76x = 413,218.80 × 165,302.88
  4. Step 4: Simplify right side
    299,441.76x = 68,306,257,710.14
  5. Step 5: Solve for x
    x = 68,306,257,710.14/299,441.76
  6. Step 6: Final answer
    x = 228,112.00

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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.