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Finding the Fourth Proportional to 306,840.76, 460,452.80 and 117,317.16

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Solution

The fourth proportional to 306,840.76, 460,452.80 and 117,317.16 is: 176,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,840.76 : 460,452.80 = 117,317.16 : x
  2. Step 2: Convert to fraction form
    306,840.76/460,452.80 = 117,317.16/x
  3. Step 3: Cross multiply
    306,840.76x = 460,452.80 × 117,317.16
  4. Step 4: Simplify right side
    306,840.76x = 54,019,015,103.34
  5. Step 5: Solve for x
    x = 54,019,015,103.34/306,840.76
  6. Step 6: Final answer
    x = 176,049.02

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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.