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Finding the Fourth Proportional to 585,712.74, 878,236.20 and 230,534.22

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Solution

The fourth proportional to 585,712.74, 878,236.20 and 230,534.22 is: 345,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,712.74 : 878,236.20 = 230,534.22 : x
  2. Step 2: Convert to fraction form
    585,712.74/878,236.20 = 230,534.22/x
  3. Step 3: Cross multiply
    585,712.74x = 878,236.20 × 230,534.22
  4. Step 4: Simplify right side
    585,712.74x = 202,463,497,342.76
  5. Step 5: Solve for x
    x = 202,463,497,342.76/585,712.74
  6. Step 6: Final answer
    x = 345,670.30

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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.