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Finding the Fourth Proportional to 297,309.57, 410,153.27 and 176,455.95

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Solution

The fourth proportional to 297,309.57, 410,153.27 and 176,455.95 is: 243,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,309.57 : 410,153.27 = 176,455.95 : x
  2. Step 2: Convert to fraction form
    297,309.57/410,153.27 = 176,455.95/x
  3. Step 3: Cross multiply
    297,309.57x = 410,153.27 × 176,455.95
  4. Step 4: Simplify right side
    297,309.57x = 72,373,984,021.18
  5. Step 5: Solve for x
    x = 72,373,984,021.18/297,309.57
  6. Step 6: Final answer
    x = 243,429.72

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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.