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Finding the Fourth Proportional to 459,180.24, 688,751.28 and 159,728.64

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Solution

The fourth proportional to 459,180.24, 688,751.28 and 159,728.64 is: 239,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,180.24 : 688,751.28 = 159,728.64 : x
  2. Step 2: Convert to fraction form
    459,180.24/688,751.28 = 159,728.64/x
  3. Step 3: Cross multiply
    459,180.24x = 688,751.28 × 159,728.64
  4. Step 4: Simplify right side
    459,180.24x = 110,013,305,252.66
  5. Step 5: Solve for x
    x = 110,013,305,252.66/459,180.24
  6. Step 6: Final answer
    x = 239,586.32

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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.