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Finding the Fourth Proportional to 365,699.81, 504,688.12 and 204,565.70

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Solution

The fourth proportional to 365,699.81, 504,688.12 and 204,565.70 is: 282,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,699.81 : 504,688.12 = 204,565.70 : x
  2. Step 2: Convert to fraction form
    365,699.81/504,688.12 = 204,565.70/x
  3. Step 3: Cross multiply
    365,699.81x = 504,688.12 × 204,565.70
  4. Step 4: Simplify right side
    365,699.81x = 103,241,879,299.79
  5. Step 5: Solve for x
    x = 103,241,879,299.79/365,699.81
  6. Step 6: Final answer
    x = 282,313.19

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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.