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Finding the Fourth Proportional to 375,593.02, 518,322.45 and 205,823.50

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Solution

The fourth proportional to 375,593.02, 518,322.45 and 205,823.50 is: 284,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,593.02 : 518,322.45 = 205,823.50 : x
  2. Step 2: Convert to fraction form
    375,593.02/518,322.45 = 205,823.50/x
  3. Step 3: Cross multiply
    375,593.02x = 518,322.45 × 205,823.50
  4. Step 4: Simplify right side
    375,593.02x = 106,682,940,787.58
  5. Step 5: Solve for x
    x = 106,682,940,787.58/375,593.02
  6. Step 6: Final answer
    x = 284,038.67

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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.