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Finding the Fourth Proportional to 329,892.40, 495,130.20 and 282,653.20

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Solution

The fourth proportional to 329,892.40, 495,130.20 and 282,653.20 is: 424,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,892.40 : 495,130.20 = 282,653.20 : x
  2. Step 2: Convert to fraction form
    329,892.40/495,130.20 = 282,653.20/x
  3. Step 3: Cross multiply
    329,892.40x = 495,130.20 × 282,653.20
  4. Step 4: Simplify right side
    329,892.40x = 139,950,135,446.64
  5. Step 5: Solve for x
    x = 139,950,135,446.64/329,892.40
  6. Step 6: Final answer
    x = 424,229.64

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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.