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Finding the Fourth Proportional to 402,184.30, 603,276.45 and 267,465.10

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Solution

The fourth proportional to 402,184.30, 603,276.45 and 267,465.10 is: 401,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,184.30 : 603,276.45 = 267,465.10 : x
  2. Step 2: Convert to fraction form
    402,184.30/603,276.45 = 267,465.10/x
  3. Step 3: Cross multiply
    402,184.30x = 603,276.45 × 267,465.10
  4. Step 4: Simplify right side
    402,184.30x = 161,355,396,026.90
  5. Step 5: Solve for x
    x = 161,355,396,026.90/402,184.30
  6. Step 6: Final answer
    x = 401,197.65

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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.