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Finding the Fourth Proportional to 457,947.54, 632,006.58 and 254,064.18

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Solution

The fourth proportional to 457,947.54, 632,006.58 and 254,064.18 is: 350,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,947.54 : 632,006.58 = 254,064.18 : x
  2. Step 2: Convert to fraction form
    457,947.54/632,006.58 = 254,064.18/x
  3. Step 3: Cross multiply
    457,947.54x = 632,006.58 × 254,064.18
  4. Step 4: Simplify right side
    457,947.54x = 160,570,233,502.30
  5. Step 5: Solve for x
    x = 160,570,233,502.30/457,947.54
  6. Step 6: Final answer
    x = 350,630.19

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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.