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Finding the Fourth Proportional to 288,141.20, 432,467.80 and 169,664.40

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Solution

The fourth proportional to 288,141.20, 432,467.80 and 169,664.40 is: 254,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,141.20 : 432,467.80 = 169,664.40 : x
  2. Step 2: Convert to fraction form
    288,141.20/432,467.80 = 169,664.40/x
  3. Step 3: Cross multiply
    288,141.20x = 432,467.80 × 169,664.40
  4. Step 4: Simplify right side
    288,141.20x = 73,374,389,806.32
  5. Step 5: Solve for x
    x = 73,374,389,806.32/288,141.20
  6. Step 6: Final answer
    x = 254,647.34

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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.