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Finding the Fourth Proportional to 471,609.75, 650,870.66 and 267,715.74

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Solution

The fourth proportional to 471,609.75, 650,870.66 and 267,715.74 is: 369,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,609.75 : 650,870.66 = 267,715.74 : x
  2. Step 2: Convert to fraction form
    471,609.75/650,870.66 = 267,715.74/x
  3. Step 3: Cross multiply
    471,609.75x = 650,870.66 × 267,715.74
  4. Step 4: Simplify right side
    471,609.75x = 174,248,321,055.48
  5. Step 5: Solve for x
    x = 174,248,321,055.48/471,609.75
  6. Step 6: Final answer
    x = 369,475.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.