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Finding the Fourth Proportional to 297,730, 410,867.40 and 163,594.96

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Solution

The fourth proportional to 297,730, 410,867.40 and 163,594.96 is: 225,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,730 : 410,867.40 = 163,594.96 : x
  2. Step 2: Convert to fraction form
    297,730/410,867.40 = 163,594.96/x
  3. Step 3: Cross multiply
    297,730x = 410,867.40 × 163,594.96
  4. Step 4: Simplify right side
    297,730x = 67,215,835,868.30
  5. Step 5: Solve for x
    x = 67,215,835,868.30/297,730
  6. Step 6: Final answer
    x = 225,761.04

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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.