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Finding the Fourth Proportional to 406,216.17, 609,421.59 and 125,733.42

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Solution

The fourth proportional to 406,216.17, 609,421.59 and 125,733.42 is: 188,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,216.17 : 609,421.59 = 125,733.42 : x
  2. Step 2: Convert to fraction form
    406,216.17/609,421.59 = 125,733.42/x
  3. Step 3: Cross multiply
    406,216.17x = 609,421.59 × 125,733.42
  4. Step 4: Simplify right side
    406,216.17x = 76,624,660,732.54
  5. Step 5: Solve for x
    x = 76,624,660,732.54/406,216.17
  6. Step 6: Final answer
    x = 188,630.26

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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.