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Finding the Fourth Proportional to 446,516, 616,192.32 and 245,324.96

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Solution

The fourth proportional to 446,516, 616,192.32 and 245,324.96 is: 338,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,516 : 616,192.32 = 245,324.96 : x
  2. Step 2: Convert to fraction form
    446,516/616,192.32 = 245,324.96/x
  3. Step 3: Cross multiply
    446,516x = 616,192.32 × 245,324.96
  4. Step 4: Simplify right side
    446,516x = 151,167,356,256.31
  5. Step 5: Solve for x
    x = 151,167,356,256.31/446,516
  6. Step 6: Final answer
    x = 338,548.58

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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.