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Finding the Fourth Proportional to 432,216.50, 649,744.58 and 401,003.76

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Solution

The fourth proportional to 432,216.50, 649,744.58 and 401,003.76 is: 602,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,216.50 : 649,744.58 = 401,003.76 : x
  2. Step 2: Convert to fraction form
    432,216.50/649,744.58 = 401,003.76/x
  3. Step 3: Cross multiply
    432,216.50x = 649,744.58 × 401,003.76
  4. Step 4: Simplify right side
    432,216.50x = 260,550,019,619.62
  5. Step 5: Solve for x
    x = 260,550,019,619.62/432,216.50
  6. Step 6: Final answer
    x = 602,822.94

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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.