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Finding the Fourth Proportional to 468,898.46, 647,080.52 and 254,038.53

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Solution

The fourth proportional to 468,898.46, 647,080.52 and 254,038.53 is: 350,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,898.46 : 647,080.52 = 254,038.53 : x
  2. Step 2: Convert to fraction form
    468,898.46/647,080.52 = 254,038.53/x
  3. Step 3: Cross multiply
    468,898.46x = 647,080.52 × 254,038.53
  4. Step 4: Simplify right side
    468,898.46x = 164,383,382,822.24
  5. Step 5: Solve for x
    x = 164,383,382,822.24/468,898.46
  6. Step 6: Final answer
    x = 350,573.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.