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Finding the Fourth Proportional to 376,024.50, 518,913.81 and 206,259.02

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Solution

The fourth proportional to 376,024.50, 518,913.81 and 206,259.02 is: 284,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,024.50 : 518,913.81 = 206,259.02 : x
  2. Step 2: Convert to fraction form
    376,024.50/518,913.81 = 206,259.02/x
  3. Step 3: Cross multiply
    376,024.50x = 518,913.81 × 206,259.02
  4. Step 4: Simplify right side
    376,024.50x = 107,030,653,915.07
  5. Step 5: Solve for x
    x = 107,030,653,915.07/376,024.50
  6. Step 6: Final answer
    x = 284,637.45

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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.