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Finding the Fourth Proportional to 365,740.70, 504,741.76 and 204,586.13

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Solution

The fourth proportional to 365,740.70, 504,741.76 and 204,586.13 is: 282,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,740.70 : 504,741.76 = 204,586.13 : x
  2. Step 2: Convert to fraction form
    365,740.70/504,741.76 = 204,586.13/x
  3. Step 3: Cross multiply
    365,740.70x = 504,741.76 × 204,586.13
  4. Step 4: Simplify right side
    365,740.70x = 103,263,164,078.18
  5. Step 5: Solve for x
    x = 103,263,164,078.18/365,740.70
  6. Step 6: Final answer
    x = 282,339.83

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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.