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Finding the Fourth Proportional to 471,666.32, 650,866.64 and 267,721.40

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Solution

The fourth proportional to 471,666.32, 650,866.64 and 267,721.40 is: 369,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,666.32 : 650,866.64 = 267,721.40 : x
  2. Step 2: Convert to fraction form
    471,666.32/650,866.64 = 267,721.40/x
  3. Step 3: Cross multiply
    471,666.32x = 650,866.64 × 267,721.40
  4. Step 4: Simplify right side
    471,666.32x = 174,250,928,074.10
  5. Step 5: Solve for x
    x = 174,250,928,074.10/471,666.32
  6. Step 6: Final answer
    x = 369,436.87

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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.