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Finding the Fourth Proportional to 598,207, 825,496.38 and 356,484.16

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Solution

The fourth proportional to 598,207, 825,496.38 and 356,484.16 is: 491,930.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,207 : 825,496.38 = 356,484.16 : x
  2. Step 2: Convert to fraction form
    598,207/825,496.38 = 356,484.16/x
  3. Step 3: Cross multiply
    598,207x = 825,496.38 × 356,484.16
  4. Step 4: Simplify right side
    598,207x = 294,276,383,607.34
  5. Step 5: Solve for x
    x = 294,276,383,607.34/598,207
  6. Step 6: Final answer
    x = 491,930.69

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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.