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Finding the Fourth Proportional to 306,796.90, 460,226.84 and 117,416.58

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Solution

The fourth proportional to 306,796.90, 460,226.84 and 117,416.58 is: 176,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,796.90 : 460,226.84 = 117,416.58 : x
  2. Step 2: Convert to fraction form
    306,796.90/460,226.84 = 117,416.58/x
  3. Step 3: Cross multiply
    306,796.90x = 460,226.84 × 117,416.58
  4. Step 4: Simplify right side
    306,796.90x = 54,038,261,577.01
  5. Step 5: Solve for x
    x = 54,038,261,577.01/306,796.90
  6. Step 6: Final answer
    x = 176,136.92

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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.