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Finding the Fourth Proportional to 415,920.02, 573,969.65 and 224,933.36

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Solution

The fourth proportional to 415,920.02, 573,969.65 and 224,933.36 is: 310,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,920.02 : 573,969.65 = 224,933.36 : x
  2. Step 2: Convert to fraction form
    415,920.02/573,969.65 = 224,933.36/x
  3. Step 3: Cross multiply
    415,920.02x = 573,969.65 × 224,933.36
  4. Step 4: Simplify right side
    415,920.02x = 129,104,917,918.01
  5. Step 5: Solve for x
    x = 129,104,917,918.01/415,920.02
  6. Step 6: Final answer
    x = 310,408.04

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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.