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Finding the Fourth Proportional to 412,281.84, 570,094.20 and 327,251.28

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Solution

The fourth proportional to 412,281.84, 570,094.20 and 327,251.28 is: 452,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,281.84 : 570,094.20 = 327,251.28 : x
  2. Step 2: Convert to fraction form
    412,281.84/570,094.20 = 327,251.28/x
  3. Step 3: Cross multiply
    412,281.84x = 570,094.20 × 327,251.28
  4. Step 4: Simplify right side
    412,281.84x = 186,564,056,670.58
  5. Step 5: Solve for x
    x = 186,564,056,670.58/412,281.84
  6. Step 6: Final answer
    x = 452,515.82

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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.