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Finding the Fourth Proportional to 288,285.92, 432,625.76 and 101,297.44

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Solution

The fourth proportional to 288,285.92, 432,625.76 and 101,297.44 is: 152,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,285.92 : 432,625.76 = 101,297.44 : x
  2. Step 2: Convert to fraction form
    288,285.92/432,625.76 = 101,297.44/x
  3. Step 3: Cross multiply
    288,285.92x = 432,625.76 × 101,297.44
  4. Step 4: Simplify right side
    288,285.92x = 43,823,881,966.05
  5. Step 5: Solve for x
    x = 43,823,881,966.05/288,285.92
  6. Step 6: Final answer
    x = 152,015.34

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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.