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Finding the Fourth Proportional to 311,590.16, 467,463.88 and 86,950.41

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Solution

The fourth proportional to 311,590.16, 467,463.88 and 86,950.41 is: 130,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,590.16 : 467,463.88 = 86,950.41 : x
  2. Step 2: Convert to fraction form
    311,590.16/467,463.88 = 86,950.41/x
  3. Step 3: Cross multiply
    311,590.16x = 467,463.88 × 86,950.41
  4. Step 4: Simplify right side
    311,590.16x = 40,646,176,026.19
  5. Step 5: Solve for x
    x = 40,646,176,026.19/311,590.16
  6. Step 6: Final answer
    x = 130,447.56

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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.