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Finding the Fourth Proportional to 457,817.16, 631,791.23 and 253,856.16

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Solution

The fourth proportional to 457,817.16, 631,791.23 and 253,856.16 is: 350,323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,817.16 : 631,791.23 = 253,856.16 : x
  2. Step 2: Convert to fraction form
    457,817.16/631,791.23 = 253,856.16/x
  3. Step 3: Cross multiply
    457,817.16x = 631,791.23 × 253,856.16
  4. Step 4: Simplify right side
    457,817.16x = 160,384,094,300.20
  5. Step 5: Solve for x
    x = 160,384,094,300.20/457,817.16
  6. Step 6: Final answer
    x = 350,323.46

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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.