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Finding the Fourth Proportional to 406,399.52, 609,973.50 and 206,862.50

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Solution

The fourth proportional to 406,399.52, 609,973.50 and 206,862.50 is: 310,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,399.52 : 609,973.50 = 206,862.50 : x
  2. Step 2: Convert to fraction form
    406,399.52/609,973.50 = 206,862.50/x
  3. Step 3: Cross multiply
    406,399.52x = 609,973.50 × 206,862.50
  4. Step 4: Simplify right side
    406,399.52x = 126,180,643,143.75
  5. Step 5: Solve for x
    x = 126,180,643,143.75/406,399.52
  6. Step 6: Final answer
    x = 310,484.23

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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.