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Finding the Fourth Proportional to 292,950, 404,314.14 and 185,530.02

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Solution

The fourth proportional to 292,950, 404,314.14 and 185,530.02 is: 256,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,950 : 404,314.14 = 185,530.02 : x
  2. Step 2: Convert to fraction form
    292,950/404,314.14 = 185,530.02/x
  3. Step 3: Cross multiply
    292,950x = 404,314.14 × 185,530.02
  4. Step 4: Simplify right side
    292,950x = 75,012,410,480.48
  5. Step 5: Solve for x
    x = 75,012,410,480.48/292,950
  6. Step 6: Final answer
    x = 256,058.75

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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.