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Finding the Fourth Proportional to 320,703.59, 442,617.89 and 184,711.38

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Solution

The fourth proportional to 320,703.59, 442,617.89 and 184,711.38 is: 254,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,703.59 : 442,617.89 = 184,711.38 : x
  2. Step 2: Convert to fraction form
    320,703.59/442,617.89 = 184,711.38/x
  3. Step 3: Cross multiply
    320,703.59x = 442,617.89 × 184,711.38
  4. Step 4: Simplify right side
    320,703.59x = 81,756,561,274.59
  5. Step 5: Solve for x
    x = 81,756,561,274.59/320,703.59
  6. Step 6: Final answer
    x = 254,928.74

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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.