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Finding the Fourth Proportional to 293,084.64, 404,478.54 and 164,036.04

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Solution

The fourth proportional to 293,084.64, 404,478.54 and 164,036.04 is: 226,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,084.64 : 404,478.54 = 164,036.04 : x
  2. Step 2: Convert to fraction form
    293,084.64/404,478.54 = 164,036.04/x
  3. Step 3: Cross multiply
    293,084.64x = 404,478.54 × 164,036.04
  4. Step 4: Simplify right side
    293,084.64x = 66,349,057,966.58
  5. Step 5: Solve for x
    x = 66,349,057,966.58/293,084.64
  6. Step 6: Final answer
    x = 226,381.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.