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Finding the Fourth Proportional to 313,227.47, 432,254.14 and 169,987.48

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Solution

The fourth proportional to 313,227.47, 432,254.14 and 169,987.48 is: 234,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,227.47 : 432,254.14 = 169,987.48 : x
  2. Step 2: Convert to fraction form
    313,227.47/432,254.14 = 169,987.48/x
  3. Step 3: Cross multiply
    313,227.47x = 432,254.14 × 169,987.48
  4. Step 4: Simplify right side
    313,227.47x = 73,477,790,472.56
  5. Step 5: Solve for x
    x = 73,477,790,472.56/313,227.47
  6. Step 6: Final answer
    x = 234,582.84

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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.