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Finding the Fourth Proportional to 589,822.49, 813,698.38 and 374,847.41

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Solution

The fourth proportional to 589,822.49, 813,698.38 and 374,847.41 is: 517,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,822.49 : 813,698.38 = 374,847.41 : x
  2. Step 2: Convert to fraction form
    589,822.49/813,698.38 = 374,847.41/x
  3. Step 3: Cross multiply
    589,822.49x = 813,698.38 × 374,847.41
  4. Step 4: Simplify right side
    589,822.49x = 305,012,730,264.20
  5. Step 5: Solve for x
    x = 305,012,730,264.20/589,822.49
  6. Step 6: Final answer
    x = 517,126.31

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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.