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Finding the Fourth Proportional to 407,589.65, 562,491.30 and 226,301.61

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Solution

The fourth proportional to 407,589.65, 562,491.30 and 226,301.61 is: 312,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,589.65 : 562,491.30 = 226,301.61 : x
  2. Step 2: Convert to fraction form
    407,589.65/562,491.30 = 226,301.61/x
  3. Step 3: Cross multiply
    407,589.65x = 562,491.30 × 226,301.61
  4. Step 4: Simplify right side
    407,589.65x = 127,292,686,800.99
  5. Step 5: Solve for x
    x = 127,292,686,800.99/407,589.65
  6. Step 6: Final answer
    x = 312,305.99

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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.