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Finding the Fourth Proportional to 495,409.50, 743,400.28 and 267,705.90

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Solution

The fourth proportional to 495,409.50, 743,400.28 and 267,705.90 is: 401,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,409.50 : 743,400.28 = 267,705.90 : x
  2. Step 2: Convert to fraction form
    495,409.50/743,400.28 = 267,705.90/x
  3. Step 3: Cross multiply
    495,409.50x = 743,400.28 × 267,705.90
  4. Step 4: Simplify right side
    495,409.50x = 199,012,641,017.65
  5. Step 5: Solve for x
    x = 199,012,641,017.65/495,409.50
  6. Step 6: Final answer
    x = 401,713.41

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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.