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Finding the Fourth Proportional to 375,798.96, 518,602.44 and 206,029.52

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Solution

The fourth proportional to 375,798.96, 518,602.44 and 206,029.52 is: 284,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,798.96 : 518,602.44 = 206,029.52 : x
  2. Step 2: Convert to fraction form
    375,798.96/518,602.44 = 206,029.52/x
  3. Step 3: Cross multiply
    375,798.96x = 518,602.44 × 206,029.52
  4. Step 4: Simplify right side
    375,798.96x = 106,847,411,784.03
  5. Step 5: Solve for x
    x = 106,847,411,784.03/375,798.96
  6. Step 6: Final answer
    x = 284,320.67

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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.