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Finding the Fourth Proportional to 338,101.50, 466,594.65 and 187,198.50

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Solution

The fourth proportional to 338,101.50, 466,594.65 and 187,198.50 is: 258,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,101.50 : 466,594.65 = 187,198.50 : x
  2. Step 2: Convert to fraction form
    338,101.50/466,594.65 = 187,198.50/x
  3. Step 3: Cross multiply
    338,101.50x = 466,594.65 × 187,198.50
  4. Step 4: Simplify right side
    338,101.50x = 87,345,818,588.03
  5. Step 5: Solve for x
    x = 87,345,818,588.03/338,101.50
  6. Step 6: Final answer
    x = 258,342.00

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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.