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Finding the Fourth Proportional to 598,109.80, 897,323.10 and 261,005.80

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Solution

The fourth proportional to 598,109.80, 897,323.10 and 261,005.80 is: 391,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,109.80 : 897,323.10 = 261,005.80 : x
  2. Step 2: Convert to fraction form
    598,109.80/897,323.10 = 261,005.80/x
  3. Step 3: Cross multiply
    598,109.80x = 897,323.10 × 261,005.80
  4. Step 4: Simplify right side
    598,109.80x = 234,206,533,573.98
  5. Step 5: Solve for x
    x = 234,206,533,573.98/598,109.80
  6. Step 6: Final answer
    x = 391,577.82

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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.