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Finding the Fourth Proportional to 306,794.90, 460,223.84 and 117,414.57

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Solution

The fourth proportional to 306,794.90, 460,223.84 and 117,414.57 is: 176,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,794.90 : 460,223.84 = 117,414.57 : x
  2. Step 2: Convert to fraction form
    306,794.90/460,223.84 = 117,414.57/x
  3. Step 3: Cross multiply
    306,794.90x = 460,223.84 × 117,414.57
  4. Step 4: Simplify right side
    306,794.90x = 54,036,985,856.42
  5. Step 5: Solve for x
    x = 54,036,985,856.42/306,794.90
  6. Step 6: Final answer
    x = 176,133.91

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1.5x scale

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.