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Finding the Fourth Proportional to 471,233.86, 706,835.74 and 151,384.42

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Solution

The fourth proportional to 471,233.86, 706,835.74 and 151,384.42 is: 227,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,233.86 : 706,835.74 = 151,384.42 : x
  2. Step 2: Convert to fraction form
    471,233.86/706,835.74 = 151,384.42/x
  3. Step 3: Cross multiply
    471,233.86x = 706,835.74 × 151,384.42
  4. Step 4: Simplify right side
    471,233.86x = 107,003,918,535.17
  5. Step 5: Solve for x
    x = 107,003,918,535.17/471,233.86
  6. Step 6: Final answer
    x = 227,071.80

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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.