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Finding the Fourth Proportional to 314,502.40, 471,235.20 and 261,625.60

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Solution

The fourth proportional to 314,502.40, 471,235.20 and 261,625.60 is: 392,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,502.40 : 471,235.20 = 261,625.60 : x
  2. Step 2: Convert to fraction form
    314,502.40/471,235.20 = 261,625.60/x
  3. Step 3: Cross multiply
    314,502.40x = 471,235.20 × 261,625.60
  4. Step 4: Simplify right side
    314,502.40x = 123,287,191,941.12
  5. Step 5: Solve for x
    x = 123,287,191,941.12/314,502.40
  6. Step 6: Final answer
    x = 392,007.16

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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.