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Finding the Fourth Proportional to 415,704.84, 573,673.10 and 224,718.28

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Solution

The fourth proportional to 415,704.84, 573,673.10 and 224,718.28 is: 310,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,704.84 : 573,673.10 = 224,718.28 : x
  2. Step 2: Convert to fraction form
    415,704.84/573,673.10 = 224,718.28/x
  3. Step 3: Cross multiply
    415,704.84x = 573,673.10 × 224,718.28
  4. Step 4: Simplify right side
    415,704.84x = 128,914,832,314.27
  5. Step 5: Solve for x
    x = 128,914,832,314.27/415,704.84
  6. Step 6: Final answer
    x = 310,111.45

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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.