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Finding the Fourth Proportional to 432,249.68, 596,820.64 and 279,378.32

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Solution

The fourth proportional to 432,249.68, 596,820.64 and 279,378.32 is: 385,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,249.68 : 596,820.64 = 279,378.32 : x
  2. Step 2: Convert to fraction form
    432,249.68/596,820.64 = 279,378.32/x
  3. Step 3: Cross multiply
    432,249.68x = 596,820.64 × 279,378.32
  4. Step 4: Simplify right side
    432,249.68x = 166,738,747,744.53
  5. Step 5: Solve for x
    x = 166,738,747,744.53/432,249.68
  6. Step 6: Final answer
    x = 385,746.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.