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Finding the Fourth Proportional to 352,896.16, 486,941.88 and 209,652.52

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Solution

The fourth proportional to 352,896.16, 486,941.88 and 209,652.52 is: 289,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,896.16 : 486,941.88 = 209,652.52 : x
  2. Step 2: Convert to fraction form
    352,896.16/486,941.88 = 209,652.52/x
  3. Step 3: Cross multiply
    352,896.16x = 486,941.88 × 209,652.52
  4. Step 4: Simplify right side
    352,896.16x = 102,088,592,235.54
  5. Step 5: Solve for x
    x = 102,088,592,235.54/352,896.16
  6. Step 6: Final answer
    x = 289,287.91

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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.