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Finding the Fourth Proportional to 418,646.16, 627,969.69 and 152,408.88

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Solution

The fourth proportional to 418,646.16, 627,969.69 and 152,408.88 is: 228,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,646.16 : 627,969.69 = 152,408.88 : x
  2. Step 2: Convert to fraction form
    418,646.16/627,969.69 = 152,408.88/x
  3. Step 3: Cross multiply
    418,646.16x = 627,969.69 × 152,408.88
  4. Step 4: Simplify right side
    418,646.16x = 95,708,157,126.85
  5. Step 5: Solve for x
    x = 95,708,157,126.85/418,646.16
  6. Step 6: Final answer
    x = 228,613.48

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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.