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Finding the Fourth Proportional to 457,702.28, 685,659.62 and 217,474.30

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Solution

The fourth proportional to 457,702.28, 685,659.62 and 217,474.30 is: 325,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,702.28 : 685,659.62 = 217,474.30 : x
  2. Step 2: Convert to fraction form
    457,702.28/685,659.62 = 217,474.30/x
  3. Step 3: Cross multiply
    457,702.28x = 685,659.62 × 217,474.30
  4. Step 4: Simplify right side
    457,702.28x = 149,113,345,897.77
  5. Step 5: Solve for x
    x = 149,113,345,897.77/457,702.28
  6. Step 6: Final answer
    x = 325,786.77

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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.