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Finding the Fourth Proportional to 314,360.97, 471,276.94 and 136,734.19

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Solution

The fourth proportional to 314,360.97, 471,276.94 and 136,734.19 is: 204,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,360.97 : 471,276.94 = 136,734.19 : x
  2. Step 2: Convert to fraction form
    314,360.97/471,276.94 = 136,734.19/x
  3. Step 3: Cross multiply
    314,360.97x = 471,276.94 × 136,734.19
  4. Step 4: Simplify right side
    314,360.97x = 64,439,670,656.58
  5. Step 5: Solve for x
    x = 64,439,670,656.58/314,360.97
  6. Step 6: Final answer
    x = 204,986.23

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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.