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Finding the Fourth Proportional to 413,780.70, 620,816.85 and 399,200.70

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Solution

The fourth proportional to 413,780.70, 620,816.85 and 399,200.70 is: 598,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,780.70 : 620,816.85 = 399,200.70 : x
  2. Step 2: Convert to fraction form
    413,780.70/620,816.85 = 399,200.70/x
  3. Step 3: Cross multiply
    413,780.70x = 620,816.85 × 399,200.70
  4. Step 4: Simplify right side
    413,780.70x = 247,830,521,091.80
  5. Step 5: Solve for x
    x = 247,830,521,091.80/413,780.70
  6. Step 6: Final answer
    x = 598,941.71

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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.