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Finding the Fourth Proportional to 406,014.52, 609,231.76 and 294,613.20

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Solution

The fourth proportional to 406,014.52, 609,231.76 and 294,613.20 is: 442,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,014.52 : 609,231.76 = 294,613.20 : x
  2. Step 2: Convert to fraction form
    406,014.52/609,231.76 = 294,613.20/x
  3. Step 3: Cross multiply
    406,014.52x = 609,231.76 × 294,613.20
  4. Step 4: Simplify right side
    406,014.52x = 179,487,718,355.23
  5. Step 5: Solve for x
    x = 179,487,718,355.23/406,014.52
  6. Step 6: Final answer
    x = 442,072.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.