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Finding the Fourth Proportional to 647,205.50, 893,174.16 and 360,727.64

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Solution

The fourth proportional to 647,205.50, 893,174.16 and 360,727.64 is: 497,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,205.50 : 893,174.16 = 360,727.64 : x
  2. Step 2: Convert to fraction form
    647,205.50/893,174.16 = 360,727.64/x
  3. Step 3: Cross multiply
    647,205.50x = 893,174.16 × 360,727.64
  4. Step 4: Simplify right side
    647,205.50x = 322,192,606,845.78
  5. Step 5: Solve for x
    x = 322,192,606,845.78/647,205.50
  6. Step 6: Final answer
    x = 497,821.18

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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.