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Finding the Fourth Proportional to 301,499.52, 416,142.72 and 180,712.32

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Solution

The fourth proportional to 301,499.52, 416,142.72 and 180,712.32 is: 249,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,499.52 : 416,142.72 = 180,712.32 : x
  2. Step 2: Convert to fraction form
    301,499.52/416,142.72 = 180,712.32/x
  3. Step 3: Cross multiply
    301,499.52x = 416,142.72 × 180,712.32
  4. Step 4: Simplify right side
    301,499.52x = 75,202,116,382.31
  5. Step 5: Solve for x
    x = 75,202,116,382.31/301,499.52
  6. Step 6: Final answer
    x = 249,426.99

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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.