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Finding the Fourth Proportional to 407,997.80, 611,996.70 and 380,349.80

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Solution

The fourth proportional to 407,997.80, 611,996.70 and 380,349.80 is: 570,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,997.80 : 611,996.70 = 380,349.80 : x
  2. Step 2: Convert to fraction form
    407,997.80/611,996.70 = 380,349.80/x
  3. Step 3: Cross multiply
    407,997.80x = 611,996.70 × 380,349.80
  4. Step 4: Simplify right side
    407,997.80x = 232,772,822,445.66
  5. Step 5: Solve for x
    x = 232,772,822,445.66/407,997.80
  6. Step 6: Final answer
    x = 570,524.70

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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.