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Finding the Fourth Proportional to 413,821.70, 620,732.55 and 413,821.70

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Solution

The fourth proportional to 413,821.70, 620,732.55 and 413,821.70 is: 620,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,821.70 : 620,732.55 = 413,821.70 : x
  2. Step 2: Convert to fraction form
    413,821.70/620,732.55 = 413,821.70/x
  3. Step 3: Cross multiply
    413,821.70x = 620,732.55 × 413,821.70
  4. Step 4: Simplify right side
    413,821.70x = 256,872,599,086.34
  5. Step 5: Solve for x
    x = 256,872,599,086.34/413,821.70
  6. Step 6: Final answer
    x = 620,732.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.