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Finding the Fourth Proportional to 508,704.30, 763,165.80 and 153,754.20

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Solution

The fourth proportional to 508,704.30, 763,165.80 and 153,754.20 is: 230,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,704.30 : 763,165.80 = 153,754.20 : x
  2. Step 2: Convert to fraction form
    508,704.30/763,165.80 = 153,754.20/x
  3. Step 3: Cross multiply
    508,704.30x = 763,165.80 × 153,754.20
  4. Step 4: Simplify right side
    508,704.30x = 117,339,947,046.36
  5. Step 5: Solve for x
    x = 117,339,947,046.36/508,704.30
  6. Step 6: Final answer
    x = 230,664.35

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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.