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Finding the Fourth Proportional to 415,881.82, 573,916.94 and 224,895.21

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Solution

The fourth proportional to 415,881.82, 573,916.94 and 224,895.21 is: 310,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,881.82 : 573,916.94 = 224,895.21 : x
  2. Step 2: Convert to fraction form
    415,881.82/573,916.94 = 224,895.21/x
  3. Step 3: Cross multiply
    415,881.82x = 573,916.94 × 224,895.21
  4. Step 4: Simplify right side
    415,881.82x = 129,071,170,743.86
  5. Step 5: Solve for x
    x = 129,071,170,743.86/415,881.82
  6. Step 6: Final answer
    x = 310,355.41

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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.