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Finding the Fourth Proportional to 218,283.84, 327,425.76 and 144,394.56

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Solution

The fourth proportional to 218,283.84, 327,425.76 and 144,394.56 is: 216,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,283.84 : 327,425.76 = 144,394.56 : x
  2. Step 2: Convert to fraction form
    218,283.84/327,425.76 = 144,394.56/x
  3. Step 3: Cross multiply
    218,283.84x = 327,425.76 × 144,394.56
  4. Step 4: Simplify right side
    218,283.84x = 47,278,498,547.87
  5. Step 5: Solve for x
    x = 47,278,498,547.87/218,283.84
  6. Step 6: Final answer
    x = 216,591.84

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1.5x scale

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.