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Finding the Fourth Proportional to 539,876.80, 809,815.20 and 382,283.20

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Solution

The fourth proportional to 539,876.80, 809,815.20 and 382,283.20 is: 573,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,876.80 : 809,815.20 = 382,283.20 : x
  2. Step 2: Convert to fraction form
    539,876.80/809,815.20 = 382,283.20/x
  3. Step 3: Cross multiply
    539,876.80x = 809,815.20 × 382,283.20
  4. Step 4: Simplify right side
    539,876.80x = 309,578,746,064.64
  5. Step 5: Solve for x
    x = 309,578,746,064.64/539,876.80
  6. Step 6: Final answer
    x = 573,424.80

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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.