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Finding the Fourth Proportional to 292,957, 404,323.78 and 185,537

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Solution

The fourth proportional to 292,957, 404,323.78 and 185,537 is: 256,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,957 : 404,323.78 = 185,537 : x
  2. Step 2: Convert to fraction form
    292,957/404,323.78 = 185,537/x
  3. Step 3: Cross multiply
    292,957x = 404,323.78 × 185,537
  4. Step 4: Simplify right side
    292,957x = 75,017,021,169.86
  5. Step 5: Solve for x
    x = 75,017,021,169.86/292,957
  6. Step 6: Final answer
    x = 256,068.37

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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.