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Finding the Fourth Proportional to 563,372.08, 778,198.80 and 419,883.01

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Solution

The fourth proportional to 563,372.08, 778,198.80 and 419,883.01 is: 579,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,372.08 : 778,198.80 = 419,883.01 : x
  2. Step 2: Convert to fraction form
    563,372.08/778,198.80 = 419,883.01/x
  3. Step 3: Cross multiply
    563,372.08x = 778,198.80 × 419,883.01
  4. Step 4: Simplify right side
    563,372.08x = 326,752,454,522.39
  5. Step 5: Solve for x
    x = 326,752,454,522.39/563,372.08
  6. Step 6: Final answer
    x = 579,994.05

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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.