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Finding the Fourth Proportional to 536,805.50, 805,213.11 and 162,828.50

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Solution

The fourth proportional to 536,805.50, 805,213.11 and 162,828.50 is: 244,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,805.50 : 805,213.11 = 162,828.50 : x
  2. Step 2: Convert to fraction form
    536,805.50/805,213.11 = 162,828.50/x
  3. Step 3: Cross multiply
    536,805.50x = 805,213.11 × 162,828.50
  4. Step 4: Simplify right side
    536,805.50x = 131,111,642,881.64
  5. Step 5: Solve for x
    x = 131,111,642,881.64/536,805.50
  6. Step 6: Final answer
    x = 244,244.22

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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.