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Finding the Fourth Proportional to 597,920.80, 897,039.60 and 260,816.80

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Solution

The fourth proportional to 597,920.80, 897,039.60 and 260,816.80 is: 391,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,920.80 : 897,039.60 = 260,816.80 : x
  2. Step 2: Convert to fraction form
    597,920.80/897,039.60 = 260,816.80/x
  3. Step 3: Cross multiply
    597,920.80x = 897,039.60 × 260,816.80
  4. Step 4: Simplify right side
    597,920.80x = 233,962,997,945.28
  5. Step 5: Solve for x
    x = 233,962,997,945.28/597,920.80
  6. Step 6: Final answer
    x = 391,294.30

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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.