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Finding the Fourth Proportional to 413,732.20, 620,598.30 and 203,780.20

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Solution

The fourth proportional to 413,732.20, 620,598.30 and 203,780.20 is: 305,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,732.20 : 620,598.30 = 203,780.20 : x
  2. Step 2: Convert to fraction form
    413,732.20/620,598.30 = 203,780.20/x
  3. Step 3: Cross multiply
    413,732.20x = 620,598.30 × 203,780.20
  4. Step 4: Simplify right side
    413,732.20x = 126,465,645,693.66
  5. Step 5: Solve for x
    x = 126,465,645,693.66/413,732.20
  6. Step 6: Final answer
    x = 305,670.30

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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.