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Finding the Fourth Proportional to 410,112.60, 614,477.70 and 199,296.60

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Solution

The fourth proportional to 410,112.60, 614,477.70 and 199,296.60 is: 298,609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,112.60 : 614,477.70 = 199,296.60 : x
  2. Step 2: Convert to fraction form
    410,112.60/614,477.70 = 199,296.60/x
  3. Step 3: Cross multiply
    410,112.60x = 614,477.70 × 199,296.60
  4. Step 4: Simplify right side
    410,112.60x = 122,463,316,385.82
  5. Step 5: Solve for x
    x = 122,463,316,385.82/410,112.60
  6. Step 6: Final answer
    x = 298,609.01

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1.5x scale

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.