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Finding the Fourth Proportional to 402,942.80, 604,414.20 and 284,844.80

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Solution

The fourth proportional to 402,942.80, 604,414.20 and 284,844.80 is: 427,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,942.80 : 604,414.20 = 284,844.80 : x
  2. Step 2: Convert to fraction form
    402,942.80/604,414.20 = 284,844.80/x
  3. Step 3: Cross multiply
    402,942.80x = 604,414.20 × 284,844.80
  4. Step 4: Simplify right side
    402,942.80x = 172,164,241,916.16
  5. Step 5: Solve for x
    x = 172,164,241,916.16/402,942.80
  6. Step 6: Final answer
    x = 427,267.20

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1.5x scale

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.