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Finding the Fourth Proportional to 322,349.80, 483,357.84 and 144,703.84

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Solution

The fourth proportional to 322,349.80, 483,357.84 and 144,703.84 is: 216,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,349.80 : 483,357.84 = 144,703.84 : x
  2. Step 2: Convert to fraction form
    322,349.80/483,357.84 = 144,703.84/x
  3. Step 3: Cross multiply
    322,349.80x = 483,357.84 × 144,703.84
  4. Step 4: Simplify right side
    322,349.80x = 69,943,735,542.11
  5. Step 5: Solve for x
    x = 69,943,735,542.11/322,349.80
  6. Step 6: Final answer
    x = 216,980.86

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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.