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Finding the Fourth Proportional to 564,900.84, 846,940.68 and 265,227.12

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Solution

The fourth proportional to 564,900.84, 846,940.68 and 265,227.12 is: 397,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,900.84 : 846,940.68 = 265,227.12 : x
  2. Step 2: Convert to fraction form
    564,900.84/846,940.68 = 265,227.12/x
  3. Step 3: Cross multiply
    564,900.84x = 846,940.68 × 265,227.12
  4. Step 4: Simplify right side
    564,900.84x = 224,631,637,367.24
  5. Step 5: Solve for x
    x = 224,631,637,367.24/564,900.84
  6. Step 6: Final answer
    x = 397,647.91

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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.