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Finding the Fourth Proportional to 304,463.57, 456,796.79 and 102,079.71

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Solution

The fourth proportional to 304,463.57, 456,796.79 and 102,079.71 is: 153,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,463.57 : 456,796.79 = 102,079.71 : x
  2. Step 2: Convert to fraction form
    304,463.57/456,796.79 = 102,079.71/x
  3. Step 3: Cross multiply
    304,463.57x = 456,796.79 × 102,079.71
  4. Step 4: Simplify right side
    304,463.57x = 46,629,683,852.13
  5. Step 5: Solve for x
    x = 46,629,683,852.13/304,463.57
  6. Step 6: Final answer
    x = 153,153.57

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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.