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Finding the Fourth Proportional to 306,796.90, 460,226.84 and 117,416.57

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Solution

The fourth proportional to 306,796.90, 460,226.84 and 117,416.57 is: 176,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,796.90 : 460,226.84 = 117,416.57 : x
  2. Step 2: Convert to fraction form
    306,796.90/460,226.84 = 117,416.57/x
  3. Step 3: Cross multiply
    306,796.90x = 460,226.84 × 117,416.57
  4. Step 4: Simplify right side
    306,796.90x = 54,038,256,974.74
  5. Step 5: Solve for x
    x = 54,038,256,974.74/306,796.90
  6. Step 6: Final answer
    x = 176,136.91

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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.