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Finding the Fourth Proportional to 432,328.42, 592,287.17 and 416,161.37

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Solution

The fourth proportional to 432,328.42, 592,287.17 and 416,161.37 is: 570,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,328.42 : 592,287.17 = 416,161.37 : x
  2. Step 2: Convert to fraction form
    432,328.42/592,287.17 = 416,161.37/x
  3. Step 3: Cross multiply
    432,328.42x = 592,287.17 × 416,161.37
  4. Step 4: Simplify right side
    432,328.42x = 246,487,037,579.50
  5. Step 5: Solve for x
    x = 246,487,037,579.50/432,328.42
  6. Step 6: Final answer
    x = 570,138.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.