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Finding the Fourth Proportional to 469,338.41, 647,646.95 and 265,379.33

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Solution

The fourth proportional to 469,338.41, 647,646.95 and 265,379.33 is: 366,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,338.41 : 647,646.95 = 265,379.33 : x
  2. Step 2: Convert to fraction form
    469,338.41/647,646.95 = 265,379.33/x
  3. Step 3: Cross multiply
    469,338.41x = 647,646.95 × 265,379.33
  4. Step 4: Simplify right side
    469,338.41x = 171,872,111,092.76
  5. Step 5: Solve for x
    x = 171,872,111,092.76/469,338.41
  6. Step 6: Final answer
    x = 366,200.82

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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.