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Finding the Fourth Proportional to 473,020.86, 653,311.81 and 344,531.77

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Solution

The fourth proportional to 473,020.86, 653,311.81 and 344,531.77 is: 475,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,020.86 : 653,311.81 = 344,531.77 : x
  2. Step 2: Convert to fraction form
    473,020.86/653,311.81 = 344,531.77/x
  3. Step 3: Cross multiply
    473,020.86x = 653,311.81 × 344,531.77
  4. Step 4: Simplify right side
    473,020.86x = 225,086,673,570.52
  5. Step 5: Solve for x
    x = 225,086,673,570.52/473,020.86
  6. Step 6: Final answer
    x = 475,849.36

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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.