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Finding the Fourth Proportional to 294,303.87, 406,090.89 and 185,391.27

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Solution

The fourth proportional to 294,303.87, 406,090.89 and 185,391.27 is: 255,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,303.87 : 406,090.89 = 185,391.27 : x
  2. Step 2: Convert to fraction form
    294,303.87/406,090.89 = 185,391.27/x
  3. Step 3: Cross multiply
    294,303.87x = 406,090.89 × 185,391.27
  4. Step 4: Simplify right side
    294,303.87x = 75,285,705,832.53
  5. Step 5: Solve for x
    x = 75,285,705,832.53/294,303.87
  6. Step 6: Final answer
    x = 255,809.43

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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.