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Finding the Fourth Proportional to 314,895.60, 472,080.48 and 156,906.72

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Solution

The fourth proportional to 314,895.60, 472,080.48 and 156,906.72 is: 235,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,895.60 : 472,080.48 = 156,906.72 : x
  2. Step 2: Convert to fraction form
    314,895.60/472,080.48 = 156,906.72/x
  3. Step 3: Cross multiply
    314,895.60x = 472,080.48 × 156,906.72
  4. Step 4: Simplify right side
    314,895.60x = 74,072,599,692.83
  5. Step 5: Solve for x
    x = 74,072,599,692.83/314,895.60
  6. Step 6: Final answer
    x = 235,229.07

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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.