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Finding the Fourth Proportional to 314,080.76, 433,508.43 and 178,194.25

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Solution

The fourth proportional to 314,080.76, 433,508.43 and 178,194.25 is: 245,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,080.76 : 433,508.43 = 178,194.25 : x
  2. Step 2: Convert to fraction form
    314,080.76/433,508.43 = 178,194.25/x
  3. Step 3: Cross multiply
    314,080.76x = 433,508.43 × 178,194.25
  4. Step 4: Simplify right side
    314,080.76x = 77,248,706,494.01
  5. Step 5: Solve for x
    x = 77,248,706,494.01/314,080.76
  6. Step 6: Final answer
    x = 245,951.73

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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.