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Finding the Fourth Proportional to 462,619.10, 638,384.82 and 258,686.84

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Solution

The fourth proportional to 462,619.10, 638,384.82 and 258,686.84 is: 356,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,619.10 : 638,384.82 = 258,686.84 : x
  2. Step 2: Convert to fraction form
    462,619.10/638,384.82 = 258,686.84/x
  3. Step 3: Cross multiply
    462,619.10x = 638,384.82 × 258,686.84
  4. Step 4: Simplify right side
    462,619.10x = 165,141,751,789.77
  5. Step 5: Solve for x
    x = 165,141,751,789.77/462,619.10
  6. Step 6: Final answer
    x = 356,971.32

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