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Finding the Fourth Proportional to 550,034.51, 825,052.46 and 150,678.77

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Solution

The fourth proportional to 550,034.51, 825,052.46 and 150,678.77 is: 226,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,034.51 : 825,052.46 = 150,678.77 : x
  2. Step 2: Convert to fraction form
    550,034.51/825,052.46 = 150,678.77/x
  3. Step 3: Cross multiply
    550,034.51x = 825,052.46 × 150,678.77
  4. Step 4: Simplify right side
    550,034.51x = 124,317,884,979.62
  5. Step 5: Solve for x
    x = 124,317,884,979.62/550,034.51
  6. Step 6: Final answer
    x = 226,018.34

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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.