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Finding the Fourth Proportional to 460,649.96, 691,343.58 and 239,097.32

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Solution

The fourth proportional to 460,649.96, 691,343.58 and 239,097.32 is: 358,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,649.96 : 691,343.58 = 239,097.32 : x
  2. Step 2: Convert to fraction form
    460,649.96/691,343.58 = 239,097.32/x
  3. Step 3: Cross multiply
    460,649.96x = 691,343.58 × 239,097.32
  4. Step 4: Simplify right side
    460,649.96x = 165,298,397,177.21
  5. Step 5: Solve for x
    x = 165,298,397,177.21/460,649.96
  6. Step 6: Final answer
    x = 358,837.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.