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Finding the Fourth Proportional to 230,822.40, 346,233.60 and 185,721.60

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Solution

The fourth proportional to 230,822.40, 346,233.60 and 185,721.60 is: 278,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,822.40 : 346,233.60 = 185,721.60 : x
  2. Step 2: Convert to fraction form
    230,822.40/346,233.60 = 185,721.60/x
  3. Step 3: Cross multiply
    230,822.40x = 346,233.60 × 185,721.60
  4. Step 4: Simplify right side
    230,822.40x = 64,303,058,165.76
  5. Step 5: Solve for x
    x = 64,303,058,165.76/230,822.40
  6. Step 6: Final answer
    x = 278,582.40

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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.