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Finding the Fourth Proportional to 336,475.64, 464,320.00 and 200,506.56

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Solution

The fourth proportional to 336,475.64, 464,320.00 and 200,506.56 is: 276,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,475.64 : 464,320.00 = 200,506.56 : x
  2. Step 2: Convert to fraction form
    336,475.64/464,320.00 = 200,506.56/x
  3. Step 3: Cross multiply
    336,475.64x = 464,320.00 × 200,506.56
  4. Step 4: Simplify right side
    336,475.64x = 93,099,203,320.78
  5. Step 5: Solve for x
    x = 93,099,203,320.78/336,475.64
  6. Step 6: Final answer
    x = 276,689.28

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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.