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Finding the Fourth Proportional to 429,594.92, 644,475.35 and 163,334.73

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Solution

The fourth proportional to 429,594.92, 644,475.35 and 163,334.73 is: 245,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,594.92 : 644,475.35 = 163,334.73 : x
  2. Step 2: Convert to fraction form
    429,594.92/644,475.35 = 163,334.73/x
  3. Step 3: Cross multiply
    429,594.92x = 644,475.35 × 163,334.73
  4. Step 4: Simplify right side
    429,594.92x = 105,265,206,145.55
  5. Step 5: Solve for x
    x = 105,265,206,145.55/429,594.92
  6. Step 6: Final answer
    x = 245,033.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.