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Finding the Fourth Proportional to 309,261.84, 463,863.48 and 98,843.28

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Solution

The fourth proportional to 309,261.84, 463,863.48 and 98,843.28 is: 148,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,261.84 : 463,863.48 = 98,843.28 : x
  2. Step 2: Convert to fraction form
    309,261.84/463,863.48 = 98,843.28/x
  3. Step 3: Cross multiply
    309,261.84x = 463,863.48 × 98,843.28
  4. Step 4: Simplify right side
    309,261.84x = 45,849,787,835.41
  5. Step 5: Solve for x
    x = 45,849,787,835.41/309,261.84
  6. Step 6: Final answer
    x = 148,255.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.