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Finding the Fourth Proportional to 294,037.29, 405,598.32 and 184,967.82

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Solution

The fourth proportional to 294,037.29, 405,598.32 and 184,967.82 is: 255,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,037.29 : 405,598.32 = 184,967.82 : x
  2. Step 2: Convert to fraction form
    294,037.29/405,598.32 = 184,967.82/x
  3. Step 3: Cross multiply
    294,037.29x = 405,598.32 × 184,967.82
  4. Step 4: Simplify right side
    294,037.29x = 75,022,637,046.06
  5. Step 5: Solve for x
    x = 75,022,637,046.06/294,037.29
  6. Step 6: Final answer
    x = 255,146.68

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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.