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Finding the Fourth Proportional to 361,312.95, 498,611.61 and 197,969.61

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Solution

The fourth proportional to 361,312.95, 498,611.61 and 197,969.61 is: 273,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,312.95 : 498,611.61 = 197,969.61 : x
  2. Step 2: Convert to fraction form
    361,312.95/498,611.61 = 197,969.61/x
  3. Step 3: Cross multiply
    361,312.95x = 498,611.61 × 197,969.61
  4. Step 4: Simplify right side
    361,312.95x = 98,709,945,973.17
  5. Step 5: Solve for x
    x = 98,709,945,973.17/361,312.95
  6. Step 6: Final answer
    x = 273,197.92

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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.