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Finding the Fourth Proportional to 366,674.50, 506,034.19 and 205,529.59

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Solution

The fourth proportional to 366,674.50, 506,034.19 and 205,529.59 is: 283,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,674.50 : 506,034.19 = 205,529.59 : x
  2. Step 2: Convert to fraction form
    366,674.50/506,034.19 = 205,529.59/x
  3. Step 3: Cross multiply
    366,674.50x = 506,034.19 × 205,529.59
  4. Step 4: Simplify right side
    366,674.50x = 104,004,998,588.51
  5. Step 5: Solve for x
    x = 104,004,998,588.51/366,674.50
  6. Step 6: Final answer
    x = 283,643.94

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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.