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Finding the Fourth Proportional to 410,104.60, 614,465.70 and 199,288.60

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Solution

The fourth proportional to 410,104.60, 614,465.70 and 199,288.60 is: 298,597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,104.60 : 614,465.70 = 199,288.60 : x
  2. Step 2: Convert to fraction form
    410,104.60/614,465.70 = 199,288.60/x
  3. Step 3: Cross multiply
    410,104.60x = 614,465.70 × 199,288.60
  4. Step 4: Simplify right side
    410,104.60x = 122,456,009,101.02
  5. Step 5: Solve for x
    x = 122,456,009,101.02/410,104.60
  6. Step 6: Final answer
    x = 298,597.01

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Why These Related Problems?

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