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Finding the Fourth Proportional to 288,478.25, 432,735.83 and 110,985.28

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Solution

The fourth proportional to 288,478.25, 432,735.83 and 110,985.28 is: 166,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,478.25 : 432,735.83 = 110,985.28 : x
  2. Step 2: Convert to fraction form
    288,478.25/432,735.83 = 110,985.28/x
  3. Step 3: Cross multiply
    288,478.25x = 432,735.83 × 110,985.28
  4. Step 4: Simplify right side
    288,478.25x = 48,027,307,258.58
  5. Step 5: Solve for x
    x = 48,027,307,258.58/288,478.25
  6. Step 6: Final answer
    x = 166,485.02

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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.