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Finding the Fourth Proportional to 297,354.41, 410,162.43 and 176,410.07

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Solution

The fourth proportional to 297,354.41, 410,162.43 and 176,410.07 is: 243,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,354.41 : 410,162.43 = 176,410.07 : x
  2. Step 2: Convert to fraction form
    297,354.41/410,162.43 = 176,410.07/x
  3. Step 3: Cross multiply
    297,354.41x = 410,162.43 × 176,410.07
  4. Step 4: Simplify right side
    297,354.41x = 72,356,780,936.86
  5. Step 5: Solve for x
    x = 72,356,780,936.86/297,354.41
  6. Step 6: Final answer
    x = 243,335.16

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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.