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Finding the Fourth Proportional to 313,980.96, 433,305.10 and 179,870.88

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Solution

The fourth proportional to 313,980.96, 433,305.10 and 179,870.88 is: 248,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,980.96 : 433,305.10 = 179,870.88 : x
  2. Step 2: Convert to fraction form
    313,980.96/433,305.10 = 179,870.88/x
  3. Step 3: Cross multiply
    313,980.96x = 433,305.10 × 179,870.88
  4. Step 4: Simplify right side
    313,980.96x = 77,938,969,645.49
  5. Step 5: Solve for x
    x = 77,938,969,645.49/313,980.96
  6. Step 6: Final answer
    x = 248,228.33

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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.