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Finding the Fourth Proportional to 493,560.70, 740,637.24 and 213,077.68

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Solution

The fourth proportional to 493,560.70, 740,637.24 and 213,077.68 is: 319,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,560.70 : 740,637.24 = 213,077.68 : x
  2. Step 2: Convert to fraction form
    493,560.70/740,637.24 = 213,077.68/x
  3. Step 3: Cross multiply
    493,560.70x = 740,637.24 × 213,077.68
  4. Step 4: Simplify right side
    493,560.70x = 157,813,264,820.80
  5. Step 5: Solve for x
    x = 157,813,264,820.80/493,560.70
  6. Step 6: Final answer
    x = 319,744.39

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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.