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Finding the Fourth Proportional to 301,746.48, 416,410.38 and 165,789.20

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Solution

The fourth proportional to 301,746.48, 416,410.38 and 165,789.20 is: 228,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,746.48 : 416,410.38 = 165,789.20 : x
  2. Step 2: Convert to fraction form
    301,746.48/416,410.38 = 165,789.20/x
  3. Step 3: Cross multiply
    301,746.48x = 416,410.38 × 165,789.20
  4. Step 4: Simplify right side
    301,746.48x = 69,036,341,689.84
  5. Step 5: Solve for x
    x = 69,036,341,689.84/301,746.48
  6. Step 6: Final answer
    x = 228,789.22

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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.