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Finding the Fourth Proportional to 366,812.42, 506,194.65 and 205,666.97

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Solution

The fourth proportional to 366,812.42, 506,194.65 and 205,666.97 is: 283,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,812.42 : 506,194.65 = 205,666.97 : x
  2. Step 2: Convert to fraction form
    366,812.42/506,194.65 = 205,666.97/x
  3. Step 3: Cross multiply
    366,812.42x = 506,194.65 × 205,666.97
  4. Step 4: Simplify right side
    366,812.42x = 104,107,517,364.74
  5. Step 5: Solve for x
    x = 104,107,517,364.74/366,812.42
  6. Step 6: Final answer
    x = 283,816.78

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1.5x scale

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.