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Finding the Fourth Proportional to 472,522.24, 652,096.32 and 257,680

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Solution

The fourth proportional to 472,522.24, 652,096.32 and 257,680 is: 355,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,522.24 : 652,096.32 = 257,680 : x
  2. Step 2: Convert to fraction form
    472,522.24/652,096.32 = 257,680/x
  3. Step 3: Cross multiply
    472,522.24x = 652,096.32 × 257,680
  4. Step 4: Simplify right side
    472,522.24x = 168,032,179,737.60
  5. Step 5: Solve for x
    x = 168,032,179,737.60/472,522.24
  6. Step 6: Final answer
    x = 355,606.92

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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.