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Finding the Fourth Proportional to 297,227.80, 410,095.02 and 176,268.52

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Solution

The fourth proportional to 297,227.80, 410,095.02 and 176,268.52 is: 243,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,227.80 : 410,095.02 = 176,268.52 : x
  2. Step 2: Convert to fraction form
    297,227.80/410,095.02 = 176,268.52/x
  3. Step 3: Cross multiply
    297,227.80x = 410,095.02 × 176,268.52
  4. Step 4: Simplify right side
    297,227.80x = 72,286,842,234.77
  5. Step 5: Solve for x
    x = 72,286,842,234.77/297,227.80
  6. Step 6: Final answer
    x = 243,203.50

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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.