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Finding the Fourth Proportional to 293,995.81, 405,689.72 and 164,916.34

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Solution

The fourth proportional to 293,995.81, 405,689.72 and 164,916.34 is: 227,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,995.81 : 405,689.72 = 164,916.34 : x
  2. Step 2: Convert to fraction form
    293,995.81/405,689.72 = 164,916.34/x
  3. Step 3: Cross multiply
    293,995.81x = 405,689.72 × 164,916.34
  4. Step 4: Simplify right side
    293,995.81x = 66,904,861,959.22
  5. Step 5: Solve for x
    x = 66,904,861,959.22/293,995.81
  6. Step 6: Final answer
    x = 227,570.80

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1.5x scale

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.