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Finding the Fourth Proportional to 317,669.08, 438,388.32 and 174,442

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Solution

The fourth proportional to 317,669.08, 438,388.32 and 174,442 is: 240,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,669.08 : 438,388.32 = 174,442 : x
  2. Step 2: Convert to fraction form
    317,669.08/438,388.32 = 174,442/x
  3. Step 3: Cross multiply
    317,669.08x = 438,388.32 × 174,442
  4. Step 4: Simplify right side
    317,669.08x = 76,473,335,317.44
  5. Step 5: Solve for x
    x = 76,473,335,317.44/317,669.08
  6. Step 6: Final answer
    x = 240,732.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.