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Finding the Fourth Proportional to 310,870.28, 466,305.42 and 205,664.69

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Solution

The fourth proportional to 310,870.28, 466,305.42 and 205,664.69 is: 308,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,870.28 : 466,305.42 = 205,664.69 : x
  2. Step 2: Convert to fraction form
    310,870.28/466,305.42 = 205,664.69/x
  3. Step 3: Cross multiply
    310,870.28x = 466,305.42 × 205,664.69
  4. Step 4: Simplify right side
    310,870.28x = 95,902,559,649.62
  5. Step 5: Solve for x
    x = 95,902,559,649.62/310,870.28
  6. Step 6: Final answer
    x = 308,497.04

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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.