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Finding the Fourth Proportional to 299,462.85, 413,262.74 and 163,495.24

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Solution

The fourth proportional to 299,462.85, 413,262.74 and 163,495.24 is: 225,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,462.85 : 413,262.74 = 163,495.24 : x
  2. Step 2: Convert to fraction form
    299,462.85/413,262.74 = 163,495.24/x
  3. Step 3: Cross multiply
    299,462.85x = 413,262.74 × 163,495.24
  4. Step 4: Simplify right side
    299,462.85x = 67,566,490,234.94
  5. Step 5: Solve for x
    x = 67,566,490,234.94/299,462.85
  6. Step 6: Final answer
    x = 225,625.62

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1.5x scale

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.