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Finding the Fourth Proportional to 563,843.96, 778,115.34 and 309,179.96

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Solution

The fourth proportional to 563,843.96, 778,115.34 and 309,179.96 is: 426,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,843.96 : 778,115.34 = 309,179.96 : x
  2. Step 2: Convert to fraction form
    563,843.96/778,115.34 = 309,179.96/x
  3. Step 3: Cross multiply
    563,843.96x = 778,115.34 × 309,179.96
  4. Step 4: Simplify right side
    563,843.96x = 240,577,669,696.59
  5. Step 5: Solve for x
    x = 240,577,669,696.59/563,843.96
  6. Step 6: Final answer
    x = 426,674.20

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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.