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Finding the Fourth Proportional to 476,443.89, 657,493.86 and 261,597.87

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Solution

The fourth proportional to 476,443.89, 657,493.86 and 261,597.87 is: 361,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,443.89 : 657,493.86 = 261,597.87 : x
  2. Step 2: Convert to fraction form
    476,443.89/657,493.86 = 261,597.87/x
  3. Step 3: Cross multiply
    476,443.89x = 657,493.86 × 261,597.87
  4. Step 4: Simplify right side
    476,443.89x = 171,998,993,314.08
  5. Step 5: Solve for x
    x = 171,998,993,314.08/476,443.89
  6. Step 6: Final answer
    x = 361,005.77

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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.