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Finding the Fourth Proportional to 407,589.84, 562,491.56 and 226,301.78

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Solution

The fourth proportional to 407,589.84, 562,491.56 and 226,301.78 is: 312,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,589.84 : 562,491.56 = 226,301.78 : x
  2. Step 2: Convert to fraction form
    407,589.84/562,491.56 = 226,301.78/x
  3. Step 3: Cross multiply
    407,589.84x = 562,491.56 × 226,301.78
  4. Step 4: Simplify right side
    407,589.84x = 127,292,843,234.96
  5. Step 5: Solve for x
    x = 127,292,843,234.96/407,589.84
  6. Step 6: Final answer
    x = 312,306.22

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1.5x scale

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.