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Finding the Fourth Proportional to 412,934.20, 619,862.10 and 385,862.20

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Solution

The fourth proportional to 412,934.20, 619,862.10 and 385,862.20 is: 579,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,934.20 : 619,862.10 = 385,862.20 : x
  2. Step 2: Convert to fraction form
    412,934.20/619,862.10 = 385,862.20/x
  3. Step 3: Cross multiply
    412,934.20x = 619,862.10 × 385,862.20
  4. Step 4: Simplify right side
    412,934.20x = 239,181,353,602.62
  5. Step 5: Solve for x
    x = 239,181,353,602.62/412,934.20
  6. Step 6: Final answer
    x = 579,223.89

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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.