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Finding the Fourth Proportional to 309,047.12, 426,470.28 and 189,792.08

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Solution

The fourth proportional to 309,047.12, 426,470.28 and 189,792.08 is: 261,904.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,047.12 : 426,470.28 = 189,792.08 : x
  2. Step 2: Convert to fraction form
    309,047.12/426,470.28 = 189,792.08/x
  3. Step 3: Cross multiply
    309,047.12x = 426,470.28 × 189,792.08
  4. Step 4: Simplify right side
    309,047.12x = 80,940,681,499.38
  5. Step 5: Solve for x
    x = 80,940,681,499.38/309,047.12
  6. Step 6: Final answer
    x = 261,904.01

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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.