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Finding the Fourth Proportional to 454,069.80, 681,104.70 and 314,101.80

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Solution

The fourth proportional to 454,069.80, 681,104.70 and 314,101.80 is: 471,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,069.80 : 681,104.70 = 314,101.80 : x
  2. Step 2: Convert to fraction form
    454,069.80/681,104.70 = 314,101.80/x
  3. Step 3: Cross multiply
    454,069.80x = 681,104.70 × 314,101.80
  4. Step 4: Simplify right side
    454,069.80x = 213,936,212,258.46
  5. Step 5: Solve for x
    x = 213,936,212,258.46/454,069.80
  6. Step 6: Final answer
    x = 471,152.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.