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Finding the Fourth Proportional to 457,692.30, 631,630.72 and 253,731.06

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Solution

The fourth proportional to 457,692.30, 631,630.72 and 253,731.06 is: 350,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,692.30 : 631,630.72 = 253,731.06 : x
  2. Step 2: Convert to fraction form
    457,692.30/631,630.72 = 253,731.06/x
  3. Step 3: Cross multiply
    457,692.30x = 631,630.72 × 253,731.06
  4. Step 4: Simplify right side
    457,692.30x = 160,264,332,114.16
  5. Step 5: Solve for x
    x = 160,264,332,114.16/457,692.30
  6. Step 6: Final answer
    x = 350,157.37

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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.