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Finding the Fourth Proportional to 304,316.32, 456,670.32 and 164,171.68

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Solution

The fourth proportional to 304,316.32, 456,670.32 and 164,171.68 is: 246,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,316.32 : 456,670.32 = 164,171.68 : x
  2. Step 2: Convert to fraction form
    304,316.32/456,670.32 = 164,171.68/x
  3. Step 3: Cross multiply
    304,316.32x = 456,670.32 × 164,171.68
  4. Step 4: Simplify right side
    304,316.32x = 74,972,333,640.54
  5. Step 5: Solve for x
    x = 74,972,333,640.54/304,316.32
  6. Step 6: Final answer
    x = 246,363.17

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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.