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Finding the Fourth Proportional to 415,858.33, 573,883.81 and 234,569.71

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Solution

The fourth proportional to 415,858.33, 573,883.81 and 234,569.71 is: 323,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,858.33 : 573,883.81 = 234,569.71 : x
  2. Step 2: Convert to fraction form
    415,858.33/573,883.81 = 234,569.71/x
  3. Step 3: Cross multiply
    415,858.33x = 573,883.81 × 234,569.71
  4. Step 4: Simplify right side
    415,858.33x = 134,615,758,885.40
  5. Step 5: Solve for x
    x = 134,615,758,885.40/415,858.33
  6. Step 6: Final answer
    x = 323,705.81

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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.