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Finding the Fourth Proportional to 471,253.78, 706,946.33 and 151,415.29

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Solution

The fourth proportional to 471,253.78, 706,946.33 and 151,415.29 is: 227,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,253.78 : 706,946.33 = 151,415.29 : x
  2. Step 2: Convert to fraction form
    471,253.78/706,946.33 = 151,415.29/x
  3. Step 3: Cross multiply
    471,253.78x = 706,946.33 × 151,415.29
  4. Step 4: Simplify right side
    471,253.78x = 107,042,482,814.31
  5. Step 5: Solve for x
    x = 107,042,482,814.31/471,253.78
  6. Step 6: Final answer
    x = 227,144.03

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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.