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Finding the Fourth Proportional to 462,326.23, 638,029.90 and 258,377.14

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Solution

The fourth proportional to 462,326.23, 638,029.90 and 258,377.14 is: 356,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,326.23 : 638,029.90 = 258,377.14 : x
  2. Step 2: Convert to fraction form
    462,326.23/638,029.90 = 258,377.14/x
  3. Step 3: Cross multiply
    462,326.23x = 638,029.90 × 258,377.14
  4. Step 4: Simplify right side
    462,326.23x = 164,852,340,463.62
  5. Step 5: Solve for x
    x = 164,852,340,463.62/462,326.23
  6. Step 6: Final answer
    x = 356,571.47

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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.