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Finding the Fourth Proportional to 487,212.80, 730,430.40 and 206,499.20

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Solution

The fourth proportional to 487,212.80, 730,430.40 and 206,499.20 is: 309,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,212.80 : 730,430.40 = 206,499.20 : x
  2. Step 2: Convert to fraction form
    487,212.80/730,430.40 = 206,499.20/x
  3. Step 3: Cross multiply
    487,212.80x = 730,430.40 × 206,499.20
  4. Step 4: Simplify right side
    487,212.80x = 150,833,293,255.68
  5. Step 5: Solve for x
    x = 150,833,293,255.68/487,212.80
  6. Step 6: Final answer
    x = 309,584.01

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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.