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Finding the Fourth Proportional to 462,083.39, 637,633.47 and 258,116.48

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Solution

The fourth proportional to 462,083.39, 637,633.47 and 258,116.48 is: 356,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,083.39 : 637,633.47 = 258,116.48 : x
  2. Step 2: Convert to fraction form
    462,083.39/637,633.47 = 258,116.48/x
  3. Step 3: Cross multiply
    462,083.39x = 637,633.47 × 258,116.48
  4. Step 4: Simplify right side
    462,083.39x = 164,583,706,806.59
  5. Step 5: Solve for x
    x = 164,583,706,806.59/462,083.39
  6. Step 6: Final answer
    x = 356,177.50

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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.