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Finding the Fourth Proportional to 401,542.44, 602,428.86 and 152,249.64

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Solution

The fourth proportional to 401,542.44, 602,428.86 and 152,249.64 is: 228,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,542.44 : 602,428.86 = 152,249.64 : x
  2. Step 2: Convert to fraction form
    401,542.44/602,428.86 = 152,249.64/x
  3. Step 3: Cross multiply
    401,542.44x = 602,428.86 × 152,249.64
  4. Step 4: Simplify right side
    401,542.44x = 91,719,577,060.61
  5. Step 5: Solve for x
    x = 91,719,577,060.61/401,542.44
  6. Step 6: Final answer
    x = 228,418.14

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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.