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Finding the Fourth Proportional to 314,357.93, 471,165.56 and 134,390.71

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Solution

The fourth proportional to 314,357.93, 471,165.56 and 134,390.71 is: 201,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,357.93 : 471,165.56 = 134,390.71 : x
  2. Step 2: Convert to fraction form
    314,357.93/471,165.56 = 134,390.71/x
  3. Step 3: Cross multiply
    314,357.93x = 471,165.56 × 134,390.71
  4. Step 4: Simplify right side
    314,357.93x = 63,320,274,135.95
  5. Step 5: Solve for x
    x = 63,320,274,135.95/314,357.93
  6. Step 6: Final answer
    x = 201,427.32

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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.