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Finding the Fourth Proportional to 314,356.20, 471,568.04 and 134,460.32

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Solution

The fourth proportional to 314,356.20, 471,568.04 and 134,460.32 is: 201,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,356.20 : 471,568.04 = 134,460.32 : x
  2. Step 2: Convert to fraction form
    314,356.20/471,568.04 = 134,460.32/x
  3. Step 3: Cross multiply
    314,356.20x = 471,568.04 × 134,460.32
  4. Step 4: Simplify right side
    314,356.20x = 63,407,189,560.17
  5. Step 5: Solve for x
    x = 63,407,189,560.17/314,356.20
  6. Step 6: Final answer
    x = 201,704.91

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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.