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Finding the Fourth Proportional to 455,706.68, 683,576.42 and 171,371.16

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Solution

The fourth proportional to 455,706.68, 683,576.42 and 171,371.16 is: 257,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,706.68 : 683,576.42 = 171,371.16 : x
  2. Step 2: Convert to fraction form
    455,706.68/683,576.42 = 171,371.16/x
  3. Step 3: Cross multiply
    455,706.68x = 683,576.42 × 171,371.16
  4. Step 4: Simplify right side
    455,706.68x = 117,145,283,187.19
  5. Step 5: Solve for x
    x = 117,145,283,187.19/455,706.68
  6. Step 6: Final answer
    x = 257,062.91

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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.