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Finding the Fourth Proportional to 407,885.28, 562,881.16 and 226,613.94

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Solution

The fourth proportional to 407,885.28, 562,881.16 and 226,613.94 is: 312,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,885.28 : 562,881.16 = 226,613.94 : x
  2. Step 2: Convert to fraction form
    407,885.28/562,881.16 = 226,613.94/x
  3. Step 3: Cross multiply
    407,885.28x = 562,881.16 × 226,613.94
  4. Step 4: Simplify right side
    407,885.28x = 127,556,717,419.37
  5. Step 5: Solve for x
    x = 127,556,717,419.37/407,885.28
  6. Step 6: Final answer
    x = 312,726.94

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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.