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Finding the Fourth Proportional to 311,950.08, 467,964 and 101,531.52

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Solution

The fourth proportional to 311,950.08, 467,964 and 101,531.52 is: 152,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,950.08 : 467,964 = 101,531.52 : x
  2. Step 2: Convert to fraction form
    311,950.08/467,964 = 101,531.52/x
  3. Step 3: Cross multiply
    311,950.08x = 467,964 × 101,531.52
  4. Step 4: Simplify right side
    311,950.08x = 47,513,096,225.28
  5. Step 5: Solve for x
    x = 47,513,096,225.28/311,950.08
  6. Step 6: Final answer
    x = 152,309.93

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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.