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Finding the Fourth Proportional to 538,968.70, 808,647.45 and 223,522.30

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Solution

The fourth proportional to 538,968.70, 808,647.45 and 223,522.30 is: 335,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,968.70 : 808,647.45 = 223,522.30 : x
  2. Step 2: Convert to fraction form
    538,968.70/808,647.45 = 223,522.30/x
  3. Step 3: Cross multiply
    538,968.70x = 808,647.45 × 223,522.30
  4. Step 4: Simplify right side
    538,968.70x = 180,750,737,913.14
  5. Step 5: Solve for x
    x = 180,750,737,913.14/538,968.70
  6. Step 6: Final answer
    x = 335,364.07

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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.