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Finding the Fourth Proportional to 321,577.50, 482,346.74 and 144,036.84

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Solution

The fourth proportional to 321,577.50, 482,346.74 and 144,036.84 is: 216,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,577.50 : 482,346.74 = 144,036.84 : x
  2. Step 2: Convert to fraction form
    321,577.50/482,346.74 = 144,036.84/x
  3. Step 3: Cross multiply
    321,577.50x = 482,346.74 × 144,036.84
  4. Step 4: Simplify right side
    321,577.50x = 69,475,700,213.90
  5. Step 5: Solve for x
    x = 69,475,700,213.90/321,577.50
  6. Step 6: Final answer
    x = 216,046.52

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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.