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Finding the Fourth Proportional to 375,599.02, 518,330.74 and 205,829.50

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Solution

The fourth proportional to 375,599.02, 518,330.74 and 205,829.50 is: 284,046.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,599.02 : 518,330.74 = 205,829.50 : x
  2. Step 2: Convert to fraction form
    375,599.02/518,330.74 = 205,829.50/x
  3. Step 3: Cross multiply
    375,599.02x = 518,330.74 × 205,829.50
  4. Step 4: Simplify right side
    375,599.02x = 106,687,757,048.83
  5. Step 5: Solve for x
    x = 106,687,757,048.83/375,599.02
  6. Step 6: Final answer
    x = 284,046.95

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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.