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Finding the Fourth Proportional to 406,964.48, 609,827.04 and 206,985.20

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Solution

The fourth proportional to 406,964.48, 609,827.04 and 206,985.20 is: 310,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,964.48 : 609,827.04 = 206,985.20 : x
  2. Step 2: Convert to fraction form
    406,964.48/609,827.04 = 206,985.20/x
  3. Step 3: Cross multiply
    406,964.48x = 609,827.04 × 206,985.20
  4. Step 4: Simplify right side
    406,964.48x = 126,225,171,839.81
  5. Step 5: Solve for x
    x = 126,225,171,839.81/406,964.48
  6. Step 6: Final answer
    x = 310,162.63

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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.