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Finding the Fourth Proportional to 350,420.70, 524,853.45 and 288,212.70

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Solution

The fourth proportional to 350,420.70, 524,853.45 and 288,212.70 is: 431,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,420.70 : 524,853.45 = 288,212.70 : x
  2. Step 2: Convert to fraction form
    350,420.70/524,853.45 = 288,212.70/x
  3. Step 3: Cross multiply
    350,420.70x = 524,853.45 × 288,212.70
  4. Step 4: Simplify right side
    350,420.70x = 151,269,429,928.82
  5. Step 5: Solve for x
    x = 151,269,429,928.82/350,420.70
  6. Step 6: Final answer
    x = 431,679.49

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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.