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Finding the Fourth Proportional to 297,409.55, 410,238 and 176,464.98

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Solution

The fourth proportional to 297,409.55, 410,238 and 176,464.98 is: 243,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,409.55 : 410,238 = 176,464.98 : x
  2. Step 2: Convert to fraction form
    297,409.55/410,238 = 176,464.98/x
  3. Step 3: Cross multiply
    297,409.55x = 410,238 × 176,464.98
  4. Step 4: Simplify right side
    297,409.55x = 72,392,640,465.24
  5. Step 5: Solve for x
    x = 72,392,640,465.24/297,409.55
  6. Step 6: Final answer
    x = 243,410.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.