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Finding the Fourth Proportional to 471,854.54, 651,188.90 and 267,827.79

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Solution

The fourth proportional to 471,854.54, 651,188.90 and 267,827.79 is: 369,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,854.54 : 651,188.90 = 267,827.79 : x
  2. Step 2: Convert to fraction form
    471,854.54/651,188.90 = 267,827.79/x
  3. Step 3: Cross multiply
    471,854.54x = 651,188.90 × 267,827.79
  4. Step 4: Simplify right side
    471,854.54x = 174,406,482,620.39
  5. Step 5: Solve for x
    x = 174,406,482,620.39/471,854.54
  6. Step 6: Final answer
    x = 369,619.17

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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.