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Finding the Fourth Proportional to 311,323.68, 466,698.28 and 121,913.04

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Solution

The fourth proportional to 311,323.68, 466,698.28 and 121,913.04 is: 182,757.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,323.68 : 466,698.28 = 121,913.04 : x
  2. Step 2: Convert to fraction form
    311,323.68/466,698.28 = 121,913.04/x
  3. Step 3: Cross multiply
    311,323.68x = 466,698.28 × 121,913.04
  4. Step 4: Simplify right side
    311,323.68x = 56,896,606,077.57
  5. Step 5: Solve for x
    x = 56,896,606,077.57/311,323.68
  6. Step 6: Final answer
    x = 182,757.08

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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.