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Finding the Fourth Proportional to 361,050.34, 498,265.06 and 199,905.40

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Solution

The fourth proportional to 361,050.34, 498,265.06 and 199,905.40 is: 275,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,050.34 : 498,265.06 = 199,905.40 : x
  2. Step 2: Convert to fraction form
    361,050.34/498,265.06 = 199,905.40/x
  3. Step 3: Cross multiply
    361,050.34x = 498,265.06 × 199,905.40
  4. Step 4: Simplify right side
    361,050.34x = 99,605,876,125.32
  5. Step 5: Solve for x
    x = 99,605,876,125.32/361,050.34
  6. Step 6: Final answer
    x = 275,878.08

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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.