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Finding the Fourth Proportional to 519,998.80, 779,269.20 and 413,564.80

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Solution

The fourth proportional to 519,998.80, 779,269.20 and 413,564.80 is: 619,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,998.80 : 779,269.20 = 413,564.80 : x
  2. Step 2: Convert to fraction form
    519,998.80/779,269.20 = 413,564.80/x
  3. Step 3: Cross multiply
    519,998.80x = 779,269.20 × 413,564.80
  4. Step 4: Simplify right side
    519,998.80x = 322,278,310,844.16
  5. Step 5: Solve for x
    x = 322,278,310,844.16/519,998.80
  6. Step 6: Final answer
    x = 619,767.41

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1.5x scale

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.