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Finding the Fourth Proportional to 294,324, 441,490.23 and 83,961.96

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Solution

The fourth proportional to 294,324, 441,490.23 and 83,961.96 is: 125,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,324 : 441,490.23 = 83,961.96 : x
  2. Step 2: Convert to fraction form
    294,324/441,490.23 = 83,961.96/x
  3. Step 3: Cross multiply
    294,324x = 441,490.23 × 83,961.96
  4. Step 4: Simplify right side
    294,324x = 37,068,385,031.65
  5. Step 5: Solve for x
    x = 37,068,385,031.65/294,324
  6. Step 6: Final answer
    x = 125,944.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.