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Finding the Fourth Proportional to 585,505.67, 878,258.57 and 164,781.54

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Solution

The fourth proportional to 585,505.67, 878,258.57 and 164,781.54 is: 247,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,505.67 : 878,258.57 = 164,781.54 : x
  2. Step 2: Convert to fraction form
    585,505.67/878,258.57 = 164,781.54/x
  3. Step 3: Cross multiply
    585,505.67x = 878,258.57 × 164,781.54
  4. Step 4: Simplify right side
    585,505.67x = 144,720,798,858.89
  5. Step 5: Solve for x
    x = 144,720,798,858.89/585,505.67
  6. Step 6: Final answer
    x = 247,172.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.