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Finding the Fourth Proportional to 727,569, 1,004,045.22 and 425,763

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Solution

The fourth proportional to 727,569, 1,004,045.22 and 425,763 is: 587,552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,569 : 1,004,045.22 = 425,763 : x
  2. Step 2: Convert to fraction form
    727,569/1,004,045.22 = 425,763/x
  3. Step 3: Cross multiply
    727,569x = 1,004,045.22 × 425,763
  4. Step 4: Simplify right side
    727,569x = 427,485,305,002.86
  5. Step 5: Solve for x
    x = 427,485,305,002.86/727,569
  6. Step 6: Final answer
    x = 587,552.94

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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.