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Finding the Fourth Proportional to 304,428.17, 456,632.83 and 144,619.14

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Solution

The fourth proportional to 304,428.17, 456,632.83 and 144,619.14 is: 216,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,428.17 : 456,632.83 = 144,619.14 : x
  2. Step 2: Convert to fraction form
    304,428.17/456,632.83 = 144,619.14/x
  3. Step 3: Cross multiply
    304,428.17x = 456,632.83 × 144,619.14
  4. Step 4: Simplify right side
    304,428.17x = 66,037,846,808.82
  5. Step 5: Solve for x
    x = 66,037,846,808.82/304,428.17
  6. Step 6: Final answer
    x = 216,924.24

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Why These Related Problems?

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