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Finding the Fourth Proportional to 361,056.61, 498,273.69 and 199,911.64

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Solution

The fourth proportional to 361,056.61, 498,273.69 and 199,911.64 is: 275,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,056.61 : 498,273.69 = 199,911.64 : x
  2. Step 2: Convert to fraction form
    361,056.61/498,273.69 = 199,911.64/x
  3. Step 3: Cross multiply
    361,056.61x = 498,273.69 × 199,911.64
  4. Step 4: Simplify right side
    361,056.61x = 99,610,710,536.75
  5. Step 5: Solve for x
    x = 99,610,710,536.75/361,056.61
  6. Step 6: Final answer
    x = 275,886.68

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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.