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Finding the Fourth Proportional to 336,372.16, 464,430.72 and 215,824

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Solution

The fourth proportional to 336,372.16, 464,430.72 and 215,824 is: 297,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,372.16 : 464,430.72 = 215,824 : x
  2. Step 2: Convert to fraction form
    336,372.16/464,430.72 = 215,824/x
  3. Step 3: Cross multiply
    336,372.16x = 464,430.72 × 215,824
  4. Step 4: Simplify right side
    336,372.16x = 100,235,295,713.28
  5. Step 5: Solve for x
    x = 100,235,295,713.28/336,372.16
  6. Step 6: Final answer
    x = 297,989.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.