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Finding the Fourth Proportional to 469,397.32, 647,767.69 and 254,537.02

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Solution

The fourth proportional to 469,397.32, 647,767.69 and 254,537.02 is: 351,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,397.32 : 647,767.69 = 254,537.02 : x
  2. Step 2: Convert to fraction form
    469,397.32/647,767.69 = 254,537.02/x
  3. Step 3: Cross multiply
    469,397.32x = 647,767.69 × 254,537.02
  4. Step 4: Simplify right side
    469,397.32x = 164,880,857,464.88
  5. Step 5: Solve for x
    x = 164,880,857,464.88/469,397.32
  6. Step 6: Final answer
    x = 351,260.76

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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.