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Finding the Fourth Proportional to 336,255, 464,034.18 and 200,294.68

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Solution

The fourth proportional to 336,255, 464,034.18 and 200,294.68 is: 276,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,255 : 464,034.18 = 200,294.68 : x
  2. Step 2: Convert to fraction form
    336,255/464,034.18 = 200,294.68/x
  3. Step 3: Cross multiply
    336,255x = 464,034.18 × 200,294.68
  4. Step 4: Simplify right side
    336,255x = 92,943,577,592.16
  5. Step 5: Solve for x
    x = 92,943,577,592.16/336,255
  6. Step 6: Final answer
    x = 276,408.02

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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.