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Finding the Fourth Proportional to 468,578.42, 702,894.86 and 131,645.34

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Solution

The fourth proportional to 468,578.42, 702,894.86 and 131,645.34 is: 197,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,578.42 : 702,894.86 = 131,645.34 : x
  2. Step 2: Convert to fraction form
    468,578.42/702,894.86 = 131,645.34/x
  3. Step 3: Cross multiply
    468,578.42x = 702,894.86 × 131,645.34
  4. Step 4: Simplify right side
    468,578.42x = 92,532,832,828.95
  5. Step 5: Solve for x
    x = 92,532,832,828.95/468,578.42
  6. Step 6: Final answer
    x = 197,475.66

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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.