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Finding the Fourth Proportional to 314,571.68, 471,854.64 and 127,538.72

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Solution

The fourth proportional to 314,571.68, 471,854.64 and 127,538.72 is: 191,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,571.68 : 471,854.64 = 127,538.72 : x
  2. Step 2: Convert to fraction form
    314,571.68/471,854.64 = 127,538.72/x
  3. Step 3: Cross multiply
    314,571.68x = 471,854.64 × 127,538.72
  4. Step 4: Simplify right side
    314,571.68x = 60,179,736,811.66
  5. Step 5: Solve for x
    x = 60,179,736,811.66/314,571.68
  6. Step 6: Final answer
    x = 191,306.91

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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.