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Finding the Fourth Proportional to 415,921.02, 573,971.03 and 224,934.36

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Solution

The fourth proportional to 415,921.02, 573,971.03 and 224,934.36 is: 310,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,921.02 : 573,971.03 = 224,934.36 : x
  2. Step 2: Convert to fraction form
    415,921.02/573,971.03 = 224,934.36/x
  3. Step 3: Cross multiply
    415,921.02x = 573,971.03 × 224,934.36
  4. Step 4: Simplify right side
    415,921.02x = 129,105,806,291.59
  5. Step 5: Solve for x
    x = 129,105,806,291.59/415,921.02
  6. Step 6: Final answer
    x = 310,409.43

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