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Finding the Fourth Proportional to 366,947.65, 512,676.95 and 366,947.65

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Solution

The fourth proportional to 366,947.65, 512,676.95 and 366,947.65 is: 512,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,947.65 : 512,676.95 = 366,947.65 : x
  2. Step 2: Convert to fraction form
    366,947.65/512,676.95 = 366,947.65/x
  3. Step 3: Cross multiply
    366,947.65x = 512,676.95 × 366,947.65
  4. Step 4: Simplify right side
    366,947.65x = 188,125,602,011.67
  5. Step 5: Solve for x
    x = 188,125,602,011.67/366,947.65
  6. Step 6: Final answer
    x = 512,676.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.