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Finding the Fourth Proportional to 418,452.66, 627,667.38 and 152,218.08

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Solution

The fourth proportional to 418,452.66, 627,667.38 and 152,218.08 is: 228,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,452.66 : 627,667.38 = 152,218.08 : x
  2. Step 2: Convert to fraction form
    418,452.66/627,667.38 = 152,218.08/x
  3. Step 3: Cross multiply
    418,452.66x = 627,667.38 × 152,218.08
  4. Step 4: Simplify right side
    418,452.66x = 95,542,323,462.23
  5. Step 5: Solve for x
    x = 95,542,323,462.23/418,452.66
  6. Step 6: Final answer
    x = 228,322.90

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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.