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Finding the Fourth Proportional to 432,847.56, 597,332.58 and 241,869

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Solution

The fourth proportional to 432,847.56, 597,332.58 and 241,869 is: 333,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,847.56 : 597,332.58 = 241,869 : x
  2. Step 2: Convert to fraction form
    432,847.56/597,332.58 = 241,869/x
  3. Step 3: Cross multiply
    432,847.56x = 597,332.58 × 241,869
  4. Step 4: Simplify right side
    432,847.56x = 144,476,233,792.02
  5. Step 5: Solve for x
    x = 144,476,233,792.02/432,847.56
  6. Step 6: Final answer
    x = 333,780.87

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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.