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Finding the Fourth Proportional to 401,613.18, 602,100.08 and 199,066.74

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Solution

The fourth proportional to 401,613.18, 602,100.08 and 199,066.74 is: 298,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,613.18 : 602,100.08 = 199,066.74 : x
  2. Step 2: Convert to fraction form
    401,613.18/602,100.08 = 199,066.74/x
  3. Step 3: Cross multiply
    401,613.18x = 602,100.08 × 199,066.74
  4. Step 4: Simplify right side
    401,613.18x = 119,858,100,079.34
  5. Step 5: Solve for x
    x = 119,858,100,079.34/401,613.18
  6. Step 6: Final answer
    x = 298,441.65

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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.