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Finding the Fourth Proportional to 467,944, 645,763.08 and 253,083.79

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Solution

The fourth proportional to 467,944, 645,763.08 and 253,083.79 is: 349,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,944 : 645,763.08 = 253,083.79 : x
  2. Step 2: Convert to fraction form
    467,944/645,763.08 = 253,083.79/x
  3. Step 3: Cross multiply
    467,944x = 645,763.08 × 253,083.79
  4. Step 4: Simplify right side
    467,944x = 163,432,167,728.47
  5. Step 5: Solve for x
    x = 163,432,167,728.47/467,944
  6. Step 6: Final answer
    x = 349,255.82

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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.