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Finding the Fourth Proportional to 457,224.50, 630,974.85 and 253,278.54

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Solution

The fourth proportional to 457,224.50, 630,974.85 and 253,278.54 is: 349,527.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,224.50 : 630,974.85 = 253,278.54 : x
  2. Step 2: Convert to fraction form
    457,224.50/630,974.85 = 253,278.54/x
  3. Step 3: Cross multiply
    457,224.50x = 630,974.85 × 253,278.54
  4. Step 4: Simplify right side
    457,224.50x = 159,812,388,784.72
  5. Step 5: Solve for x
    x = 159,812,388,784.72/457,224.50
  6. Step 6: Final answer
    x = 349,527.18

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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.