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Finding the Fourth Proportional to 397,886.63, 596,846.41 and 117,403.88

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Solution

The fourth proportional to 397,886.63, 596,846.41 and 117,403.88 is: 176,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,886.63 : 596,846.41 = 117,403.88 : x
  2. Step 2: Convert to fraction form
    397,886.63/596,846.41 = 117,403.88/x
  3. Step 3: Cross multiply
    397,886.63x = 596,846.41 × 117,403.88
  4. Step 4: Simplify right side
    397,886.63x = 70,072,081,020.33
  5. Step 5: Solve for x
    x = 70,072,081,020.33/397,886.63
  6. Step 6: Final answer
    x = 176,110.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.