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Finding the Fourth Proportional to 469,328.52, 703,921.50 and 153,778.44

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Solution

The fourth proportional to 469,328.52, 703,921.50 and 153,778.44 is: 230,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,328.52 : 703,921.50 = 153,778.44 : x
  2. Step 2: Convert to fraction form
    469,328.52/703,921.50 = 153,778.44/x
  3. Step 3: Cross multiply
    469,328.52x = 703,921.50 × 153,778.44
  4. Step 4: Simplify right side
    469,328.52x = 108,247,950,152.46
  5. Step 5: Solve for x
    x = 108,247,950,152.46/469,328.52
  6. Step 6: Final answer
    x = 230,644.30

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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.