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Finding the Fourth Proportional to 427,164.84, 589,473.05 and 245,851.61

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Solution

The fourth proportional to 427,164.84, 589,473.05 and 245,851.61 is: 339,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,164.84 : 589,473.05 = 245,851.61 : x
  2. Step 2: Convert to fraction form
    427,164.84/589,473.05 = 245,851.61/x
  3. Step 3: Cross multiply
    427,164.84x = 589,473.05 × 245,851.61
  4. Step 4: Simplify right side
    427,164.84x = 144,922,894,217.49
  5. Step 5: Solve for x
    x = 144,922,894,217.49/427,164.84
  6. Step 6: Final answer
    x = 339,266.91

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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.