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Finding the Fourth Proportional to 293,533, 405,080.58 and 159,397

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Solution

The fourth proportional to 293,533, 405,080.58 and 159,397 is: 219,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,533 : 405,080.58 = 159,397 : x
  2. Step 2: Convert to fraction form
    293,533/405,080.58 = 159,397/x
  3. Step 3: Cross multiply
    293,533x = 405,080.58 × 159,397
  4. Step 4: Simplify right side
    293,533x = 64,568,629,210.26
  5. Step 5: Solve for x
    x = 64,568,629,210.26/293,533
  6. Step 6: Final answer
    x = 219,970.60

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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.