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Finding the Fourth Proportional to 462,685.72, 638,464.64 and 269,095.22

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Solution

The fourth proportional to 462,685.72, 638,464.64 and 269,095.22 is: 371,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,685.72 : 638,464.64 = 269,095.22 : x
  2. Step 2: Convert to fraction form
    462,685.72/638,464.64 = 269,095.22/x
  3. Step 3: Cross multiply
    462,685.72x = 638,464.64 × 269,095.22
  4. Step 4: Simplify right side
    462,685.72x = 171,807,782,763.02
  5. Step 5: Solve for x
    x = 171,807,782,763.02/462,685.72
  6. Step 6: Final answer
    x = 371,327.18

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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.