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Finding the Fourth Proportional to 462,713.02, 638,539.50 and 258,761.62

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Solution

The fourth proportional to 462,713.02, 638,539.50 and 258,761.62 is: 357,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,713.02 : 638,539.50 = 258,761.62 : x
  2. Step 2: Convert to fraction form
    462,713.02/638,539.50 = 258,761.62/x
  3. Step 3: Cross multiply
    462,713.02x = 638,539.50 × 258,761.62
  4. Step 4: Simplify right side
    462,713.02x = 165,229,515,453.99
  5. Step 5: Solve for x
    x = 165,229,515,453.99/462,713.02
  6. Step 6: Final answer
    x = 357,088.54

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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.