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Finding the Fourth Proportional to 294,235.88, 441,419.42 and 107,247.38

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Solution

The fourth proportional to 294,235.88, 441,419.42 and 107,247.38 is: 160,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,235.88 : 441,419.42 = 107,247.38 : x
  2. Step 2: Convert to fraction form
    294,235.88/441,419.42 = 107,247.38/x
  3. Step 3: Cross multiply
    294,235.88x = 441,419.42 × 107,247.38
  4. Step 4: Simplify right side
    294,235.88x = 47,341,074,337.14
  5. Step 5: Solve for x
    x = 47,341,074,337.14/294,235.88
  6. Step 6: Final answer
    x = 160,894.98

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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.