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Finding the Fourth Proportional to 457,949.09, 632,008.47 and 254,065.58

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Solution

The fourth proportional to 457,949.09, 632,008.47 and 254,065.58 is: 350,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,949.09 : 632,008.47 = 254,065.58 : x
  2. Step 2: Convert to fraction form
    457,949.09/632,008.47 = 254,065.58/x
  3. Step 3: Cross multiply
    457,949.09x = 632,008.47 × 254,065.58
  4. Step 4: Simplify right side
    457,949.09x = 160,571,598,658.20
  5. Step 5: Solve for x
    x = 160,571,598,658.20/457,949.09
  6. Step 6: Final answer
    x = 350,631.98

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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.