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Finding the Fourth Proportional to 401,613.28, 602,225.92 and 233,175.96

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Solution

The fourth proportional to 401,613.28, 602,225.92 and 233,175.96 is: 349,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,613.28 : 602,225.92 = 233,175.96 : x
  2. Step 2: Convert to fraction form
    401,613.28/602,225.92 = 233,175.96/x
  3. Step 3: Cross multiply
    401,613.28x = 602,225.92 × 233,175.96
  4. Step 4: Simplify right side
    401,613.28x = 140,424,607,032.88
  5. Step 5: Solve for x
    x = 140,424,607,032.88/401,613.28
  6. Step 6: Final answer
    x = 349,651.30

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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.