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Finding the Fourth Proportional to 468,478.72, 702,705.32 and 131,522.16

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Solution

The fourth proportional to 468,478.72, 702,705.32 and 131,522.16 is: 197,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,478.72 : 702,705.32 = 131,522.16 : x
  2. Step 2: Convert to fraction form
    468,478.72/702,705.32 = 131,522.16/x
  3. Step 3: Cross multiply
    468,478.72x = 702,705.32 × 131,522.16
  4. Step 4: Simplify right side
    468,478.72x = 92,421,324,740.45
  5. Step 5: Solve for x
    x = 92,421,324,740.45/468,478.72
  6. Step 6: Final answer
    x = 197,279.66

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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.