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Finding the Fourth Proportional to 366,924.84, 506,359.95 and 205,776.43

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Solution

The fourth proportional to 366,924.84, 506,359.95 and 205,776.43 is: 283,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,924.84 : 506,359.95 = 205,776.43 : x
  2. Step 2: Convert to fraction form
    366,924.84/506,359.95 = 205,776.43/x
  3. Step 3: Cross multiply
    366,924.84x = 506,359.95 × 205,776.43
  4. Step 4: Simplify right side
    366,924.84x = 104,196,941,777.10
  5. Step 5: Solve for x
    x = 104,196,941,777.10/366,924.84
  6. Step 6: Final answer
    x = 283,973.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.