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Finding the Fourth Proportional to 424,881.14, 637,322.92 and 172,166.00

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Solution

The fourth proportional to 424,881.14, 637,322.92 and 172,166.00 is: 258,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,881.14 : 637,322.92 = 172,166.00 : x
  2. Step 2: Convert to fraction form
    424,881.14/637,322.92 = 172,166.00/x
  3. Step 3: Cross multiply
    424,881.14x = 637,322.92 × 172,166.00
  4. Step 4: Simplify right side
    424,881.14x = 109,725,334,227.69
  5. Step 5: Solve for x
    x = 109,725,334,227.69/424,881.14
  6. Step 6: Final answer
    x = 258,249.48

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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.