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Finding the Fourth Proportional to 564,754.41, 846,943.70 and 227,708.01

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Solution

The fourth proportional to 564,754.41, 846,943.70 and 227,708.01 is: 341,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,754.41 : 846,943.70 = 227,708.01 : x
  2. Step 2: Convert to fraction form
    564,754.41/846,943.70 = 227,708.01/x
  3. Step 3: Cross multiply
    564,754.41x = 846,943.70 × 227,708.01
  4. Step 4: Simplify right side
    564,754.41x = 192,855,863,370.50
  5. Step 5: Solve for x
    x = 192,855,863,370.50/564,754.41
  6. Step 6: Final answer
    x = 341,486.25

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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.