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Finding the Fourth Proportional to 464,947.65, 641,649.06 and 258,216.99

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Solution

The fourth proportional to 464,947.65, 641,649.06 and 258,216.99 is: 356,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,947.65 : 641,649.06 = 258,216.99 : x
  2. Step 2: Convert to fraction form
    464,947.65/641,649.06 = 258,216.99/x
  3. Step 3: Cross multiply
    464,947.65x = 641,649.06 × 258,216.99
  4. Step 4: Simplify right side
    464,947.65x = 165,684,688,909.53
  5. Step 5: Solve for x
    x = 165,684,688,909.53/464,947.65
  6. Step 6: Final answer
    x = 356,351.28

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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.