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Finding the Fourth Proportional to 361,157.09, 498,156.80 and 232,258.53

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Solution

The fourth proportional to 361,157.09, 498,156.80 and 232,258.53 is: 320,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,157.09 : 498,156.80 = 232,258.53 : x
  2. Step 2: Convert to fraction form
    361,157.09/498,156.80 = 232,258.53/x
  3. Step 3: Cross multiply
    361,157.09x = 498,156.80 × 232,258.53
  4. Step 4: Simplify right side
    361,157.09x = 115,701,166,077.50
  5. Step 5: Solve for x
    x = 115,701,166,077.50/361,157.09
  6. Step 6: Final answer
    x = 320,362.44

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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.