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Finding the Fourth Proportional to 467,547.96, 644,916.99 and 324,255.72

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Solution

The fourth proportional to 467,547.96, 644,916.99 and 324,255.72 is: 447,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,547.96 : 644,916.99 = 324,255.72 : x
  2. Step 2: Convert to fraction form
    467,547.96/644,916.99 = 324,255.72/x
  3. Step 3: Cross multiply
    467,547.96x = 644,916.99 × 324,255.72
  4. Step 4: Simplify right side
    467,547.96x = 209,118,022,932.68
  5. Step 5: Solve for x
    x = 209,118,022,932.68/467,547.96
  6. Step 6: Final answer
    x = 447,265.39

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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.