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Finding the Fourth Proportional to 621,824, 932,744.32 and 195,345.92

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Solution

The fourth proportional to 621,824, 932,744.32 and 195,345.92 is: 293,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,824 : 932,744.32 = 195,345.92 : x
  2. Step 2: Convert to fraction form
    621,824/932,744.32 = 195,345.92/x
  3. Step 3: Cross multiply
    621,824x = 932,744.32 × 195,345.92
  4. Step 4: Simplify right side
    621,824x = 182,207,797,315.17
  5. Step 5: Solve for x
    x = 182,207,797,315.17/621,824
  6. Step 6: Final answer
    x = 293,021.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.