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Finding the Fourth Proportional to 457,791.42, 631,749.02 and 253,842.24

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Solution

The fourth proportional to 457,791.42, 631,749.02 and 253,842.24 is: 350,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,791.42 : 631,749.02 = 253,842.24 : x
  2. Step 2: Convert to fraction form
    457,791.42/631,749.02 = 253,842.24/x
  3. Step 3: Cross multiply
    457,791.42x = 631,749.02 × 253,842.24
  4. Step 4: Simplify right side
    457,791.42x = 160,364,586,354.61
  5. Step 5: Solve for x
    x = 160,364,586,354.61/457,791.42
  6. Step 6: Final answer
    x = 350,300.55

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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.