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Finding the Fourth Proportional to 293,570.96, 405,129.47 and 164,509.72

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Solution

The fourth proportional to 293,570.96, 405,129.47 and 164,509.72 is: 227,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,570.96 : 405,129.47 = 164,509.72 : x
  2. Step 2: Convert to fraction form
    293,570.96/405,129.47 = 164,509.72/x
  3. Step 3: Cross multiply
    293,570.96x = 405,129.47 × 164,509.72
  4. Step 4: Simplify right side
    293,570.96x = 66,647,733,838.08
  5. Step 5: Solve for x
    x = 66,647,733,838.08/293,570.96
  6. Step 6: Final answer
    x = 227,024.28

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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.