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Finding the Fourth Proportional to 286,491.46, 395,381.76 and 184,728.76

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Solution

The fourth proportional to 286,491.46, 395,381.76 and 184,728.76 is: 254,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,491.46 : 395,381.76 = 184,728.76 : x
  2. Step 2: Convert to fraction form
    286,491.46/395,381.76 = 184,728.76/x
  3. Step 3: Cross multiply
    286,491.46x = 395,381.76 × 184,728.76
  4. Step 4: Simplify right side
    286,491.46x = 73,038,382,251.42
  5. Step 5: Solve for x
    x = 73,038,382,251.42/286,491.46
  6. Step 6: Final answer
    x = 254,940.87

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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.