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Finding the Fourth Proportional to 406,750.61, 609,695.74 and 150,418.47

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Solution

The fourth proportional to 406,750.61, 609,695.74 and 150,418.47 is: 225,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,750.61 : 609,695.74 = 150,418.47 : x
  2. Step 2: Convert to fraction form
    406,750.61/609,695.74 = 150,418.47/x
  3. Step 3: Cross multiply
    406,750.61x = 609,695.74 × 150,418.47
  4. Step 4: Simplify right side
    406,750.61x = 91,709,497,327.84
  5. Step 5: Solve for x
    x = 91,709,497,327.84/406,750.61
  6. Step 6: Final answer
    x = 225,468.62

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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.