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Finding the Fourth Proportional to 472,934.48, 652,644.20 and 258,078.20

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Solution

The fourth proportional to 472,934.48, 652,644.20 and 258,078.20 is: 356,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,934.48 : 652,644.20 = 258,078.20 : x
  2. Step 2: Convert to fraction form
    472,934.48/652,644.20 = 258,078.20/x
  3. Step 3: Cross multiply
    472,934.48x = 652,644.20 × 258,078.20
  4. Step 4: Simplify right side
    472,934.48x = 168,433,237,758.42
  5. Step 5: Solve for x
    x = 168,433,237,758.42/472,934.48
  6. Step 6: Final answer
    x = 356,144.98

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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.