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Finding the Fourth Proportional to 401,616.18, 602,104.57 and 199,069.74

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Solution

The fourth proportional to 401,616.18, 602,104.57 and 199,069.74 is: 298,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,616.18 : 602,104.57 = 199,069.74 : x
  2. Step 2: Convert to fraction form
    401,616.18/602,104.57 = 199,069.74/x
  3. Step 3: Cross multiply
    401,616.18x = 602,104.57 × 199,069.74
  4. Step 4: Simplify right side
    401,616.18x = 119,860,800,202.71
  5. Step 5: Solve for x
    x = 119,860,800,202.71/401,616.18
  6. Step 6: Final answer
    x = 298,446.14

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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.