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Finding the Fourth Proportional to 407,714.40, 611,571.60 and 403,777.80

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Solution

The fourth proportional to 407,714.40, 611,571.60 and 403,777.80 is: 605,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,714.40 : 611,571.60 = 403,777.80 : x
  2. Step 2: Convert to fraction form
    407,714.40/611,571.60 = 403,777.80/x
  3. Step 3: Cross multiply
    407,714.40x = 611,571.60 × 403,777.80
  4. Step 4: Simplify right side
    407,714.40x = 246,939,035,190.48
  5. Step 5: Solve for x
    x = 246,939,035,190.48/407,714.40
  6. Step 6: Final answer
    x = 605,666.70

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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.