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Finding the Fourth Proportional to 289,254.50, 433,889.44 and 92,262.50

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Solution

The fourth proportional to 289,254.50, 433,889.44 and 92,262.50 is: 138,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,254.50 : 433,889.44 = 92,262.50 : x
  2. Step 2: Convert to fraction form
    289,254.50/433,889.44 = 92,262.50/x
  3. Step 3: Cross multiply
    289,254.50x = 433,889.44 × 92,262.50
  4. Step 4: Simplify right side
    289,254.50x = 40,031,724,458
  5. Step 5: Solve for x
    x = 40,031,724,458/289,254.50
  6. Step 6: Final answer
    x = 138,396.20

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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.