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Finding the Fourth Proportional to 463,507.92, 695,096.64 and 210,576.51

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Solution

The fourth proportional to 463,507.92, 695,096.64 and 210,576.51 is: 315,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,507.92 : 695,096.64 = 210,576.51 : x
  2. Step 2: Convert to fraction form
    463,507.92/695,096.64 = 210,576.51/x
  3. Step 3: Cross multiply
    463,507.92x = 695,096.64 × 210,576.51
  4. Step 4: Simplify right side
    463,507.92x = 146,371,024,563.93
  5. Step 5: Solve for x
    x = 146,371,024,563.93/463,507.92
  6. Step 6: Final answer
    x = 315,789.69

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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.