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Finding the Fourth Proportional to 413,742.60, 620,613.90 and 164,424.60

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Solution

The fourth proportional to 413,742.60, 620,613.90 and 164,424.60 is: 246,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,742.60 : 620,613.90 = 164,424.60 : x
  2. Step 2: Convert to fraction form
    413,742.60/620,613.90 = 164,424.60/x
  3. Step 3: Cross multiply
    413,742.60x = 620,613.90 × 164,424.60
  4. Step 4: Simplify right side
    413,742.60x = 102,044,192,261.94
  5. Step 5: Solve for x
    x = 102,044,192,261.94/413,742.60
  6. Step 6: Final answer
    x = 246,636.90

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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.