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Finding the Fourth Proportional to 472,922.64, 652,633.25 and 303,156.77

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Solution

The fourth proportional to 472,922.64, 652,633.25 and 303,156.77 is: 418,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,922.64 : 652,633.25 = 303,156.77 : x
  2. Step 2: Convert to fraction form
    472,922.64/652,633.25 = 303,156.77/x
  3. Step 3: Cross multiply
    472,922.64x = 652,633.25 × 303,156.77
  4. Step 4: Simplify right side
    472,922.64x = 197,850,183,285.65
  5. Step 5: Solve for x
    x = 197,850,183,285.65/472,922.64
  6. Step 6: Final answer
    x = 418,356.34

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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.