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Finding the Fourth Proportional to 301,731.52, 416,464.32 and 174,388.72

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Solution

The fourth proportional to 301,731.52, 416,464.32 and 174,388.72 is: 240,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,731.52 : 416,464.32 = 174,388.72 : x
  2. Step 2: Convert to fraction form
    301,731.52/416,464.32 = 174,388.72/x
  3. Step 3: Cross multiply
    301,731.52x = 416,464.32 × 174,388.72
  4. Step 4: Simplify right side
    301,731.52x = 72,626,679,690.47
  5. Step 5: Solve for x
    x = 72,626,679,690.47/301,731.52
  6. Step 6: Final answer
    x = 240,699.68

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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.