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Finding the Fourth Proportional to 299,889.19, 413,780.40 and 172,564.78

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Solution

The fourth proportional to 299,889.19, 413,780.40 and 172,564.78 is: 238,101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,889.19 : 413,780.40 = 172,564.78 : x
  2. Step 2: Convert to fraction form
    299,889.19/413,780.40 = 172,564.78/x
  3. Step 3: Cross multiply
    299,889.19x = 413,780.40 × 172,564.78
  4. Step 4: Simplify right side
    299,889.19x = 71,403,923,435.70
  5. Step 5: Solve for x
    x = 71,403,923,435.70/299,889.19
  6. Step 6: Final answer
    x = 238,101.03

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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.