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Finding the Fourth Proportional to 299,295.76, 413,017.32 and 165,156.88

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Solution

The fourth proportional to 299,295.76, 413,017.32 and 165,156.88 is: 227,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,295.76 : 413,017.32 = 165,156.88 : x
  2. Step 2: Convert to fraction form
    299,295.76/413,017.32 = 165,156.88/x
  3. Step 3: Cross multiply
    299,295.76x = 413,017.32 × 165,156.88
  4. Step 4: Simplify right side
    299,295.76x = 68,212,651,957.16
  5. Step 5: Solve for x
    x = 68,212,651,957.16/299,295.76
  6. Step 6: Final answer
    x = 227,910.52

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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.