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Finding the Fourth Proportional to 288,086.40, 432,129.60 and 238,222.80

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Solution

The fourth proportional to 288,086.40, 432,129.60 and 238,222.80 is: 357,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,086.40 : 432,129.60 = 238,222.80 : x
  2. Step 2: Convert to fraction form
    288,086.40/432,129.60 = 238,222.80/x
  3. Step 3: Cross multiply
    288,086.40x = 432,129.60 × 238,222.80
  4. Step 4: Simplify right side
    288,086.40x = 102,943,123,274.88
  5. Step 5: Solve for x
    x = 102,943,123,274.88/288,086.40
  6. Step 6: Final answer
    x = 357,334.20

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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.