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Finding the Fourth Proportional to 304,605.97, 456,979.03 and 102,228.93

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Solution

The fourth proportional to 304,605.97, 456,979.03 and 102,228.93 is: 153,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,605.97 : 456,979.03 = 102,228.93 : x
  2. Step 2: Convert to fraction form
    304,605.97/456,979.03 = 102,228.93/x
  3. Step 3: Cross multiply
    304,605.97x = 456,979.03 × 102,228.93
  4. Step 4: Simplify right side
    304,605.97x = 46,716,476,758.19
  5. Step 5: Solve for x
    x = 46,716,476,758.19/304,605.97
  6. Step 6: Final answer
    x = 153,366.91

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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.