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Finding the Fourth Proportional to 304,417.64, 420,085.50 and 168,449.24

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Solution

The fourth proportional to 304,417.64, 420,085.50 and 168,449.24 is: 232,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,417.64 : 420,085.50 = 168,449.24 : x
  2. Step 2: Convert to fraction form
    304,417.64/420,085.50 = 168,449.24/x
  3. Step 3: Cross multiply
    304,417.64x = 420,085.50 × 168,449.24
  4. Step 4: Simplify right side
    304,417.64x = 70,763,083,210.02
  5. Step 5: Solve for x
    x = 70,763,083,210.02/304,417.64
  6. Step 6: Final answer
    x = 232,453.95

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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.