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Finding the Fourth Proportional to 345,901.77, 477,344.28 and 194,998.77

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Solution

The fourth proportional to 345,901.77, 477,344.28 and 194,998.77 is: 269,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,901.77 : 477,344.28 = 194,998.77 : x
  2. Step 2: Convert to fraction form
    345,901.77/477,344.28 = 194,998.77/x
  3. Step 3: Cross multiply
    345,901.77x = 477,344.28 × 194,998.77
  4. Step 4: Simplify right side
    345,901.77x = 93,081,547,466.54
  5. Step 5: Solve for x
    x = 93,081,547,466.54/345,901.77
  6. Step 6: Final answer
    x = 269,098.21

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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.