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Finding the Fourth Proportional to 311,041.16, 466,635.78 and 100,679.08

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Solution

The fourth proportional to 311,041.16, 466,635.78 and 100,679.08 is: 151,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,041.16 : 466,635.78 = 100,679.08 : x
  2. Step 2: Convert to fraction form
    311,041.16/466,635.78 = 100,679.08/x
  3. Step 3: Cross multiply
    311,041.16x = 466,635.78 × 100,679.08
  4. Step 4: Simplify right side
    311,041.16x = 46,980,461,025.48
  5. Step 5: Solve for x
    x = 46,980,461,025.48/311,041.16
  6. Step 6: Final answer
    x = 151,042.59

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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.