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Finding the Fourth Proportional to 598,248.30, 825,434.91 and 365,615.90

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Solution

The fourth proportional to 598,248.30, 825,434.91 and 365,615.90 is: 504,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,248.30 : 825,434.91 = 365,615.90 : x
  2. Step 2: Convert to fraction form
    598,248.30/825,434.91 = 365,615.90/x
  3. Step 3: Cross multiply
    598,248.30x = 825,434.91 × 365,615.90
  4. Step 4: Simplify right side
    598,248.30x = 301,792,123,383.90
  5. Step 5: Solve for x
    x = 301,792,123,383.90/598,248.30
  6. Step 6: Final answer
    x = 504,459.64

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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.