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Finding the Fourth Proportional to 293,607, 405,178.07 and 159,471

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Solution

The fourth proportional to 293,607, 405,178.07 and 159,471 is: 220,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,607 : 405,178.07 = 159,471 : x
  2. Step 2: Convert to fraction form
    293,607/405,178.07 = 159,471/x
  3. Step 3: Cross multiply
    293,607x = 405,178.07 × 159,471
  4. Step 4: Simplify right side
    293,607x = 64,614,151,203.62
  5. Step 5: Solve for x
    x = 64,614,151,203.62/293,607
  6. Step 6: Final answer
    x = 220,070.20

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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.