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Finding the Fourth Proportional to 297,002, 409,695.08 and 176,024.46

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Solution

The fourth proportional to 297,002, 409,695.08 and 176,024.46 is: 242,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,002 : 409,695.08 = 176,024.46 : x
  2. Step 2: Convert to fraction form
    297,002/409,695.08 = 176,024.46/x
  3. Step 3: Cross multiply
    297,002x = 409,695.08 × 176,024.46
  4. Step 4: Simplify right side
    297,002x = 72,116,355,221.66
  5. Step 5: Solve for x
    x = 72,116,355,221.66/297,002
  6. Step 6: Final answer
    x = 242,814.38

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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.