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Finding the Fourth Proportional to 288,205.70, 432,564.55 and 169,728.90

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Solution

The fourth proportional to 288,205.70, 432,564.55 and 169,728.90 is: 254,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,205.70 : 432,564.55 = 169,728.90 : x
  2. Step 2: Convert to fraction form
    288,205.70/432,564.55 = 169,728.90/x
  3. Step 3: Cross multiply
    288,205.70x = 432,564.55 × 169,728.90
  4. Step 4: Simplify right side
    288,205.70x = 73,418,705,250.50
  5. Step 5: Solve for x
    x = 73,418,705,250.50/288,205.70
  6. Step 6: Final answer
    x = 254,744.11

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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.