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Finding the Fourth Proportional to 472,825.42, 652,537.72 and 268,940.12

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Solution

The fourth proportional to 472,825.42, 652,537.72 and 268,940.12 is: 371,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,825.42 : 652,537.72 = 268,940.12 : x
  2. Step 2: Convert to fraction form
    472,825.42/652,537.72 = 268,940.12/x
  3. Step 3: Cross multiply
    472,825.42x = 652,537.72 × 268,940.12
  4. Step 4: Simplify right side
    472,825.42x = 175,493,569,794.81
  5. Step 5: Solve for x
    x = 175,493,569,794.81/472,825.42
  6. Step 6: Final answer
    x = 371,159.34

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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.