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Finding the Fourth Proportional to 723,170, 1,084,755 and 224,534

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Solution

The fourth proportional to 723,170, 1,084,755 and 224,534 is: 336,801

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,170 : 1,084,755 = 224,534 : x
  2. Step 2: Convert to fraction form
    723,170/1,084,755 = 224,534/x
  3. Step 3: Cross multiply
    723,170x = 1,084,755 × 224,534
  4. Step 4: Simplify right side
    723,170x = 243,564,379,170
  5. Step 5: Solve for x
    x = 243,564,379,170/723,170
  6. Step 6: Final answer
    x = 336,801

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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.