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Finding the Fourth Proportional to 294,360.30, 441,544.50 and 83,998.20

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Solution

The fourth proportional to 294,360.30, 441,544.50 and 83,998.20 is: 125,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,360.30 : 441,544.50 = 83,998.20 : x
  2. Step 2: Convert to fraction form
    294,360.30/441,544.50 = 83,998.20/x
  3. Step 3: Cross multiply
    294,360.30x = 441,544.50 × 83,998.20
  4. Step 4: Simplify right side
    294,360.30x = 37,088,943,219.90
  5. Step 5: Solve for x
    x = 37,088,943,219.90/294,360.30
  6. Step 6: Final answer
    x = 125,998.46

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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.