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Finding the Fourth Proportional to 299,317.91, 413,059.95 and 163,354.73

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Solution

The fourth proportional to 299,317.91, 413,059.95 and 163,354.73 is: 225,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,317.91 : 413,059.95 = 163,354.73 : x
  2. Step 2: Convert to fraction form
    299,317.91/413,059.95 = 163,354.73/x
  3. Step 3: Cross multiply
    299,317.91x = 413,059.95 × 163,354.73
  4. Step 4: Simplify right side
    299,317.91x = 67,475,294,540.76
  5. Step 5: Solve for x
    x = 67,475,294,540.76/299,317.91
  6. Step 6: Final answer
    x = 225,430.20

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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.