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Finding the Fourth Proportional to 294,539.80, 441,809.70 and 144,803.20

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Solution

The fourth proportional to 294,539.80, 441,809.70 and 144,803.20 is: 217,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,539.80 : 441,809.70 = 144,803.20 : x
  2. Step 2: Convert to fraction form
    294,539.80/441,809.70 = 144,803.20/x
  3. Step 3: Cross multiply
    294,539.80x = 441,809.70 × 144,803.20
  4. Step 4: Simplify right side
    294,539.80x = 63,975,458,351.04
  5. Step 5: Solve for x
    x = 63,975,458,351.04/294,539.80
  6. Step 6: Final answer
    x = 217,204.80

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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.