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Finding the Fourth Proportional to 541,110.56, 746,874.32 and 311,694.24

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Solution

The fourth proportional to 541,110.56, 746,874.32 and 311,694.24 is: 430,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,110.56 : 746,874.32 = 311,694.24 : x
  2. Step 2: Convert to fraction form
    541,110.56/746,874.32 = 311,694.24/x
  3. Step 3: Cross multiply
    541,110.56x = 746,874.32 × 311,694.24
  4. Step 4: Simplify right side
    541,110.56x = 232,796,423,547.92
  5. Step 5: Solve for x
    x = 232,796,423,547.92/541,110.56
  6. Step 6: Final answer
    x = 430,219.70

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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.