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Finding the Fourth Proportional to 618,300, 927,582.30 and 191,826.63

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Solution

The fourth proportional to 618,300, 927,582.30 and 191,826.63 is: 287,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,300 : 927,582.30 = 191,826.63 : x
  2. Step 2: Convert to fraction form
    618,300/927,582.30 = 191,826.63/x
  3. Step 3: Cross multiply
    618,300x = 927,582.30 × 191,826.63
  4. Step 4: Simplify right side
    618,300x = 177,934,986,656.65
  5. Step 5: Solve for x
    x = 177,934,986,656.65/618,300
  6. Step 6: Final answer
    x = 287,780.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.