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Finding the Fourth Proportional to 418,513.01, 627,382.22 and 152,202.02

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Solution

The fourth proportional to 418,513.01, 627,382.22 and 152,202.02 is: 228,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,513.01 : 627,382.22 = 152,202.02 : x
  2. Step 2: Convert to fraction form
    418,513.01/627,382.22 = 152,202.02/x
  3. Step 3: Cross multiply
    418,513.01x = 627,382.22 × 152,202.02
  4. Step 4: Simplify right side
    418,513.01x = 95,488,837,298.16
  5. Step 5: Solve for x
    x = 95,488,837,298.16/418,513.01
  6. Step 6: Final answer
    x = 228,162.17

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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.