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Finding the Fourth Proportional to 294,072.40, 441,108.60 and 83,717.20

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Solution

The fourth proportional to 294,072.40, 441,108.60 and 83,717.20 is: 125,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,072.40 : 441,108.60 = 83,717.20 : x
  2. Step 2: Convert to fraction form
    294,072.40/441,108.60 = 83,717.20/x
  3. Step 3: Cross multiply
    294,072.40x = 441,108.60 × 83,717.20
  4. Step 4: Simplify right side
    294,072.40x = 36,928,376,887.92
  5. Step 5: Solve for x
    x = 36,928,376,887.92/294,072.40
  6. Step 6: Final answer
    x = 125,575.80

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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.