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Finding the Fourth Proportional to 361,893.40, 542,840.10 and 268,581.40

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Solution

The fourth proportional to 361,893.40, 542,840.10 and 268,581.40 is: 402,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,893.40 : 542,840.10 = 268,581.40 : x
  2. Step 2: Convert to fraction form
    361,893.40/542,840.10 = 268,581.40/x
  3. Step 3: Cross multiply
    361,893.40x = 542,840.10 × 268,581.40
  4. Step 4: Simplify right side
    361,893.40x = 145,796,754,034.14
  5. Step 5: Solve for x
    x = 145,796,754,034.14/361,893.40
  6. Step 6: Final answer
    x = 402,872.10

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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.