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Finding the Fourth Proportional to 472,896.96, 709,723.70 and 248,389.79

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Solution

The fourth proportional to 472,896.96, 709,723.70 and 248,389.79 is: 372,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,896.96 : 709,723.70 = 248,389.79 : x
  2. Step 2: Convert to fraction form
    472,896.96/709,723.70 = 248,389.79/x
  3. Step 3: Cross multiply
    472,896.96x = 709,723.70 × 248,389.79
  4. Step 4: Simplify right side
    472,896.96x = 176,288,120,801.02
  5. Step 5: Solve for x
    x = 176,288,120,801.02/472,896.96
  6. Step 6: Final answer
    x = 372,783.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.