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Finding the Fourth Proportional to 463,516.92, 695,110.14 and 210,585.51

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Solution

The fourth proportional to 463,516.92, 695,110.14 and 210,585.51 is: 315,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,516.92 : 695,110.14 = 210,585.51 : x
  2. Step 2: Convert to fraction form
    463,516.92/695,110.14 = 210,585.51/x
  3. Step 3: Cross multiply
    463,516.92x = 695,110.14 × 210,585.51
  4. Step 4: Simplify right side
    463,516.92x = 146,380,123,338.07
  5. Step 5: Solve for x
    x = 146,380,123,338.07/463,516.92
  6. Step 6: Final answer
    x = 315,803.19

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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.