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Finding the Fourth Proportional to 288,004.80, 432,201.60 and 187,921.20

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Solution

The fourth proportional to 288,004.80, 432,201.60 and 187,921.20 is: 282,008.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,004.80 : 432,201.60 = 187,921.20 : x
  2. Step 2: Convert to fraction form
    288,004.80/432,201.60 = 187,921.20/x
  3. Step 3: Cross multiply
    288,004.80x = 432,201.60 × 187,921.20
  4. Step 4: Simplify right side
    288,004.80x = 81,219,843,313.92
  5. Step 5: Solve for x
    x = 81,219,843,313.92/288,004.80
  6. Step 6: Final answer
    x = 282,008.64

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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.