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Finding the Fourth Proportional to 294,539.60, 441,517.80 and 144,657.20

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Solution

The fourth proportional to 294,539.60, 441,517.80 and 144,657.20 is: 216,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,539.60 : 441,517.80 = 144,657.20 : x
  2. Step 2: Convert to fraction form
    294,539.60/441,517.80 = 144,657.20/x
  3. Step 3: Cross multiply
    294,539.60x = 441,517.80 × 144,657.20
  4. Step 4: Simplify right side
    294,539.60x = 63,868,728,698.16
  5. Step 5: Solve for x
    x = 63,868,728,698.16/294,539.60
  6. Step 6: Final answer
    x = 216,842.59

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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.