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Finding the Fourth Proportional to 464,107.56, 696,153.66 and 197,726.76

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Solution

The fourth proportional to 464,107.56, 696,153.66 and 197,726.76 is: 296,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,107.56 : 696,153.66 = 197,726.76 : x
  2. Step 2: Convert to fraction form
    464,107.56/696,153.66 = 197,726.76/x
  3. Step 3: Cross multiply
    464,107.56x = 696,153.66 × 197,726.76
  4. Step 4: Simplify right side
    464,107.56x = 137,648,207,653.94
  5. Step 5: Solve for x
    x = 137,648,207,653.94/464,107.56
  6. Step 6: Final answer
    x = 296,586.87

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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.