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Finding the Fourth Proportional to 294,222.38, 441,333.54 and 83,854.85

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Solution

The fourth proportional to 294,222.38, 441,333.54 and 83,854.85 is: 125,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,222.38 : 441,333.54 = 83,854.85 : x
  2. Step 2: Convert to fraction form
    294,222.38/441,333.54 = 83,854.85/x
  3. Step 3: Cross multiply
    294,222.38x = 441,333.54 × 83,854.85
  4. Step 4: Simplify right side
    294,222.38x = 37,007,955,590.00
  5. Step 5: Solve for x
    x = 37,007,955,590.00/294,222.38
  6. Step 6: Final answer
    x = 125,782.26

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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.