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Finding the Fourth Proportional to 273,612.40, 411,041.34 and 197,944.32

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Solution

The fourth proportional to 273,612.40, 411,041.34 and 197,944.32 is: 297,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,612.40 : 411,041.34 = 197,944.32 : x
  2. Step 2: Convert to fraction form
    273,612.40/411,041.34 = 197,944.32/x
  3. Step 3: Cross multiply
    273,612.40x = 411,041.34 × 197,944.32
  4. Step 4: Simplify right side
    273,612.40x = 81,363,298,538.19
  5. Step 5: Solve for x
    x = 81,363,298,538.19/273,612.40
  6. Step 6: Final answer
    x = 297,367.00

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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.