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Finding the Fourth Proportional to 406,387.02, 609,954.75 and 206,850

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Solution

The fourth proportional to 406,387.02, 609,954.75 and 206,850 is: 310,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,387.02 : 609,954.75 = 206,850 : x
  2. Step 2: Convert to fraction form
    406,387.02/609,954.75 = 206,850/x
  3. Step 3: Cross multiply
    406,387.02x = 609,954.75 × 206,850
  4. Step 4: Simplify right side
    406,387.02x = 126,169,140,037.50
  5. Step 5: Solve for x
    x = 126,169,140,037.50/406,387.02
  6. Step 6: Final answer
    x = 310,465.48

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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.