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Finding the Fourth Proportional to 410,106.60, 614,468.70 and 199,290.60

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Solution

The fourth proportional to 410,106.60, 614,468.70 and 199,290.60 is: 298,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,106.60 : 614,468.70 = 199,290.60 : x
  2. Step 2: Convert to fraction form
    410,106.60/614,468.70 = 199,290.60/x
  3. Step 3: Cross multiply
    410,106.60x = 614,468.70 × 199,290.60
  4. Step 4: Simplify right side
    410,106.60x = 122,457,835,904.22
  5. Step 5: Solve for x
    x = 122,457,835,904.22/410,106.60
  6. Step 6: Final answer
    x = 298,600.01

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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.