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Finding the Fourth Proportional to 293,524, 405,068.16 and 159,388

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Solution

The fourth proportional to 293,524, 405,068.16 and 159,388 is: 219,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,524 : 405,068.16 = 159,388 : x
  2. Step 2: Convert to fraction form
    293,524/405,068.16 = 159,388/x
  3. Step 3: Cross multiply
    293,524x = 405,068.16 × 159,388
  4. Step 4: Simplify right side
    293,524x = 64,563,003,886.08
  5. Step 5: Solve for x
    x = 64,563,003,886.08/293,524
  6. Step 6: Final answer
    x = 219,958.18

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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.