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Finding the Fourth Proportional to 550,465.86, 825,549.32 and 151,012.16

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Solution

The fourth proportional to 550,465.86, 825,549.32 and 151,012.16 is: 226,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,465.86 : 825,549.32 = 151,012.16 : x
  2. Step 2: Convert to fraction form
    550,465.86/825,549.32 = 151,012.16/x
  3. Step 3: Cross multiply
    550,465.86x = 825,549.32 × 151,012.16
  4. Step 4: Simplify right side
    550,465.86x = 124,667,982,249.52
  5. Step 5: Solve for x
    x = 124,667,982,249.52/550,465.86
  6. Step 6: Final answer
    x = 226,477.23

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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.