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Finding the Fourth Proportional to 402,712.20, 604,241.10 and 205,720.20

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Solution

The fourth proportional to 402,712.20, 604,241.10 and 205,720.20 is: 308,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,712.20 : 604,241.10 = 205,720.20 : x
  2. Step 2: Convert to fraction form
    402,712.20/604,241.10 = 205,720.20/x
  3. Step 3: Cross multiply
    402,712.20x = 604,241.10 × 205,720.20
  4. Step 4: Simplify right side
    402,712.20x = 124,304,599,940.22
  5. Step 5: Solve for x
    x = 124,304,599,940.22/402,712.20
  6. Step 6: Final answer
    x = 308,668.57

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1.5x scale

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.