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Finding the Fourth Proportional to 293,683, 405,282.90 and 159,547

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Solution

The fourth proportional to 293,683, 405,282.90 and 159,547 is: 220,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,683 : 405,282.90 = 159,547 : x
  2. Step 2: Convert to fraction form
    293,683/405,282.90 = 159,547/x
  3. Step 3: Cross multiply
    293,683x = 405,282.90 × 159,547
  4. Step 4: Simplify right side
    293,683x = 64,661,670,846.30
  5. Step 5: Solve for x
    x = 64,661,670,846.30/293,683
  6. Step 6: Final answer
    x = 220,175.06

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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.