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Finding the Fourth Proportional to 297,004.88, 409,701.30 and 176,029.76

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Solution

The fourth proportional to 297,004.88, 409,701.30 and 176,029.76 is: 242,823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,004.88 : 409,701.30 = 176,029.76 : x
  2. Step 2: Convert to fraction form
    297,004.88/409,701.30 = 176,029.76/x
  3. Step 3: Cross multiply
    297,004.88x = 409,701.30 × 176,029.76
  4. Step 4: Simplify right side
    297,004.88x = 72,119,621,510.69
  5. Step 5: Solve for x
    x = 72,119,621,510.69/297,004.88
  6. Step 6: Final answer
    x = 242,823.02

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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.