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Finding the Fourth Proportional to 410,111.60, 614,476.20 and 199,295.60

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Solution

The fourth proportional to 410,111.60, 614,476.20 and 199,295.60 is: 298,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,111.60 : 614,476.20 = 199,295.60 : x
  2. Step 2: Convert to fraction form
    410,111.60/614,476.20 = 199,295.60/x
  3. Step 3: Cross multiply
    410,111.60x = 614,476.20 × 199,295.60
  4. Step 4: Simplify right side
    410,111.60x = 122,462,402,964.72
  5. Step 5: Solve for x
    x = 122,462,402,964.72/410,111.60
  6. Step 6: Final answer
    x = 298,607.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.