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Finding the Fourth Proportional to 415,887.88, 573,923.16 and 224,900.80

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Solution

The fourth proportional to 415,887.88, 573,923.16 and 224,900.80 is: 310,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,887.88 : 573,923.16 = 224,900.80 : x
  2. Step 2: Convert to fraction form
    415,887.88/573,923.16 = 224,900.80/x
  3. Step 3: Cross multiply
    415,887.88x = 573,923.16 × 224,900.80
  4. Step 4: Simplify right side
    415,887.88x = 129,075,777,822.53
  5. Step 5: Solve for x
    x = 129,075,777,822.53/415,887.88
  6. Step 6: Final answer
    x = 310,361.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.