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Finding the Fourth Proportional to 533,659.28, 736,489.72 and 304,222

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Solution

The fourth proportional to 533,659.28, 736,489.72 and 304,222 is: 419,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,659.28 : 736,489.72 = 304,222 : x
  2. Step 2: Convert to fraction form
    533,659.28/736,489.72 = 304,222/x
  3. Step 3: Cross multiply
    533,659.28x = 736,489.72 × 304,222
  4. Step 4: Simplify right side
    533,659.28x = 224,056,375,597.84
  5. Step 5: Solve for x
    x = 224,056,375,597.84/533,659.28
  6. Step 6: Final answer
    x = 419,849.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.