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Finding the Fourth Proportional to 562,012, 843,018.48 and 229,588

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Solution

The fourth proportional to 562,012, 843,018.48 and 229,588 is: 344,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,012 : 843,018.48 = 229,588 : x
  2. Step 2: Convert to fraction form
    562,012/843,018.48 = 229,588/x
  3. Step 3: Cross multiply
    562,012x = 843,018.48 × 229,588
  4. Step 4: Simplify right side
    562,012x = 193,546,926,786.24
  5. Step 5: Solve for x
    x = 193,546,926,786.24/562,012
  6. Step 6: Final answer
    x = 344,382.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.