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Finding the Fourth Proportional to 454,881.20, 681,009.60 and 277,734.20

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Solution

The fourth proportional to 454,881.20, 681,009.60 and 277,734.20 is: 415,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,881.20 : 681,009.60 = 277,734.20 : x
  2. Step 2: Convert to fraction form
    454,881.20/681,009.60 = 277,734.20/x
  3. Step 3: Cross multiply
    454,881.20x = 681,009.60 × 277,734.20
  4. Step 4: Simplify right side
    454,881.20x = 189,139,656,448.32
  5. Step 5: Solve for x
    x = 189,139,656,448.32/454,881.20
  6. Step 6: Final answer
    x = 415,800.12

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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.