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Finding the Fourth Proportional to 313,102.40, 432,080.96 and 169,862.40

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Solution

The fourth proportional to 313,102.40, 432,080.96 and 169,862.40 is: 234,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,102.40 : 432,080.96 = 169,862.40 : x
  2. Step 2: Convert to fraction form
    313,102.40/432,080.96 = 169,862.40/x
  3. Step 3: Cross multiply
    313,102.40x = 432,080.96 × 169,862.40
  4. Step 4: Simplify right side
    313,102.40x = 73,394,308,859.90
  5. Step 5: Solve for x
    x = 73,394,308,859.90/313,102.40
  6. Step 6: Final answer
    x = 234,409.92

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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.