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Finding the Fourth Proportional to 288,374.70, 432,432.45 and 110,822.70

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Solution

The fourth proportional to 288,374.70, 432,432.45 and 110,822.70 is: 166,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,374.70 : 432,432.45 = 110,822.70 : x
  2. Step 2: Convert to fraction form
    288,374.70/432,432.45 = 110,822.70/x
  3. Step 3: Cross multiply
    288,374.70x = 432,432.45 × 110,822.70
  4. Step 4: Simplify right side
    288,374.70x = 47,923,331,676.62
  5. Step 5: Solve for x
    x = 47,923,331,676.62/288,374.70
  6. Step 6: Final answer
    x = 166,184.24

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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.