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Finding the Fourth Proportional to 407,612.55, 562,506.41 and 226,324.83

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Solution

The fourth proportional to 407,612.55, 562,506.41 and 226,324.83 is: 312,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,612.55 : 562,506.41 = 226,324.83 : x
  2. Step 2: Convert to fraction form
    407,612.55/562,506.41 = 226,324.83/x
  3. Step 3: Cross multiply
    407,612.55x = 562,506.41 × 226,324.83
  4. Step 4: Simplify right side
    407,612.55x = 127,309,168,182.97
  5. Step 5: Solve for x
    x = 127,309,168,182.97/407,612.55
  6. Step 6: Final answer
    x = 312,328.87

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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.