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Finding the Fourth Proportional to 457,348.84, 685,656.92 and 217,342.30

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Solution

The fourth proportional to 457,348.84, 685,656.92 and 217,342.30 is: 325,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,348.84 : 685,656.92 = 217,342.30 : x
  2. Step 2: Convert to fraction form
    457,348.84/685,656.92 = 217,342.30/x
  3. Step 3: Cross multiply
    457,348.84x = 685,656.92 × 217,342.30
  4. Step 4: Simplify right side
    457,348.84x = 149,022,250,917.01
  5. Step 5: Solve for x
    x = 149,022,250,917.01/457,348.84
  6. Step 6: Final answer
    x = 325,839.35

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1.5x scale

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.