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Finding the Fourth Proportional to 297,776.25, 410,931.23 and 163,640.25

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Solution

The fourth proportional to 297,776.25, 410,931.23 and 163,640.25 is: 225,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,776.25 : 410,931.23 = 163,640.25 : x
  2. Step 2: Convert to fraction form
    297,776.25/410,931.23 = 163,640.25/x
  3. Step 3: Cross multiply
    297,776.25x = 410,931.23 × 163,640.25
  4. Step 4: Simplify right side
    297,776.25x = 67,244,888,391.81
  5. Step 5: Solve for x
    x = 67,244,888,391.81/297,776.25
  6. Step 6: Final answer
    x = 225,823.55

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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.