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Finding the Fourth Proportional to 292,970, 404,250 and 184,057.40

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Solution

The fourth proportional to 292,970, 404,250 and 184,057.40 is: 253,968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,970 : 404,250 = 184,057.40 : x
  2. Step 2: Convert to fraction form
    292,970/404,250 = 184,057.40/x
  3. Step 3: Cross multiply
    292,970x = 404,250 × 184,057.40
  4. Step 4: Simplify right side
    292,970x = 74,405,203,950
  5. Step 5: Solve for x
    x = 74,405,203,950/292,970
  6. Step 6: Final answer
    x = 253,968.68

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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.