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Finding the Fourth Proportional to 407,873.86, 562,855.82 and 226,586.23

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Solution

The fourth proportional to 407,873.86, 562,855.82 and 226,586.23 is: 312,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,873.86 : 562,855.82 = 226,586.23 : x
  2. Step 2: Convert to fraction form
    407,873.86/562,855.82 = 226,586.23/x
  3. Step 3: Cross multiply
    407,873.86x = 562,855.82 × 226,586.23
  4. Step 4: Simplify right side
    407,873.86x = 127,535,375,747.29
  5. Step 5: Solve for x
    x = 127,535,375,747.29/407,873.86
  6. Step 6: Final answer
    x = 312,683.38

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Double scale
Find fourth proportional to 407,874.86, 562,857.19 and 226,587.23
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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.