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Finding the Fourth Proportional to 472,552.48, 652,122.54 and 257,687.02

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Solution

The fourth proportional to 472,552.48, 652,122.54 and 257,687.02 is: 355,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,552.48 : 652,122.54 = 257,687.02 : x
  2. Step 2: Convert to fraction form
    472,552.48/652,122.54 = 257,687.02/x
  3. Step 3: Cross multiply
    472,552.48x = 652,122.54 × 257,687.02
  4. Step 4: Simplify right side
    472,552.48x = 168,043,514,007.43
  5. Step 5: Solve for x
    x = 168,043,514,007.43/472,552.48
  6. Step 6: Final answer
    x = 355,608.15

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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.