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Finding the Fourth Proportional to 407,610.58, 562,475.19 and 226,313.14

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Solution

The fourth proportional to 407,610.58, 562,475.19 and 226,313.14 is: 312,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,610.58 : 562,475.19 = 226,313.14 : x
  2. Step 2: Convert to fraction form
    407,610.58/562,475.19 = 226,313.14/x
  3. Step 3: Cross multiply
    407,610.58x = 562,475.19 × 226,313.14
  4. Step 4: Simplify right side
    407,610.58x = 127,295,526,421.00
  5. Step 5: Solve for x
    x = 127,295,526,421.00/407,610.58
  6. Step 6: Final answer
    x = 312,296.91

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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.