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Finding the Fourth Proportional to 314,663.91, 471,820.91 and 104,187.03

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Solution

The fourth proportional to 314,663.91, 471,820.91 and 104,187.03 is: 156,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,663.91 : 471,820.91 = 104,187.03 : x
  2. Step 2: Convert to fraction form
    314,663.91/471,820.91 = 104,187.03/x
  3. Step 3: Cross multiply
    314,663.91x = 471,820.91 × 104,187.03
  4. Step 4: Simplify right side
    314,663.91x = 49,157,618,783.86
  5. Step 5: Solve for x
    x = 49,157,618,783.86/314,663.91
  6. Step 6: Final answer
    x = 156,222.61

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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.