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Finding the Fourth Proportional to 462,032.57, 637,607.17 and 258,092.09

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Solution

The fourth proportional to 462,032.57, 637,607.17 and 258,092.09 is: 356,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,032.57 : 637,607.17 = 258,092.09 : x
  2. Step 2: Convert to fraction form
    462,032.57/637,607.17 = 258,092.09/x
  3. Step 3: Cross multiply
    462,032.57x = 637,607.17 × 258,092.09
  4. Step 4: Simplify right side
    462,032.57x = 164,561,366,629.89
  5. Step 5: Solve for x
    x = 164,561,366,629.89/462,032.57
  6. Step 6: Final answer
    x = 356,168.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.