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Finding the Fourth Proportional to 471,054.42, 650,041.20 and 267,123.96

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Solution

The fourth proportional to 471,054.42, 650,041.20 and 267,123.96 is: 368,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,054.42 : 650,041.20 = 267,123.96 : x
  2. Step 2: Convert to fraction form
    471,054.42/650,041.20 = 267,123.96/x
  3. Step 3: Cross multiply
    471,054.42x = 650,041.20 × 267,123.96
  4. Step 4: Simplify right side
    471,054.42x = 173,641,579,507.15
  5. Step 5: Solve for x
    x = 173,641,579,507.15/471,054.42
  6. Step 6: Final answer
    x = 368,623.18

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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.