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Finding the Fourth Proportional to 467,826.69, 645,601.34 and 252,966.70

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Solution

The fourth proportional to 467,826.69, 645,601.34 and 252,966.70 is: 349,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,826.69 : 645,601.34 = 252,966.70 : x
  2. Step 2: Convert to fraction form
    467,826.69/645,601.34 = 252,966.70/x
  3. Step 3: Cross multiply
    467,826.69x = 645,601.34 × 252,966.70
  4. Step 4: Simplify right side
    467,826.69x = 163,315,640,495.38
  5. Step 5: Solve for x
    x = 163,315,640,495.38/467,826.69
  6. Step 6: Final answer
    x = 349,094.32

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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.