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Finding the Fourth Proportional to 311,042.86, 466,645.86 and 97,802.12

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Solution

The fourth proportional to 311,042.86, 466,645.86 and 97,802.12 is: 146,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,042.86 : 466,645.86 = 97,802.12 : x
  2. Step 2: Convert to fraction form
    311,042.86/466,645.86 = 97,802.12/x
  3. Step 3: Cross multiply
    311,042.86x = 466,645.86 × 97,802.12
  4. Step 4: Simplify right side
    311,042.86x = 45,638,955,563.84
  5. Step 5: Solve for x
    x = 45,638,955,563.84/311,042.86
  6. Step 6: Final answer
    x = 146,728.83

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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.