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Finding the Fourth Proportional to 407,729.86, 562,648.05 and 226,453.48

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Solution

The fourth proportional to 407,729.86, 562,648.05 and 226,453.48 is: 312,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,729.86 : 562,648.05 = 226,453.48 : x
  2. Step 2: Convert to fraction form
    407,729.86/562,648.05 = 226,453.48/x
  3. Step 3: Cross multiply
    407,729.86x = 562,648.05 × 226,453.48
  4. Step 4: Simplify right side
    407,729.86x = 127,413,608,937.71
  5. Step 5: Solve for x
    x = 127,413,608,937.71/407,729.86
  6. Step 6: Final answer
    x = 312,495.16

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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.