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Finding the Fourth Proportional to 598,180.41, 825,459.84 and 356,457.60

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Solution

The fourth proportional to 598,180.41, 825,459.84 and 356,457.60 is: 491,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,180.41 : 825,459.84 = 356,457.60 : x
  2. Step 2: Convert to fraction form
    598,180.41/825,459.84 = 356,457.60/x
  3. Step 3: Cross multiply
    598,180.41x = 825,459.84 × 356,457.60
  4. Step 4: Simplify right side
    598,180.41x = 294,241,433,462.78
  5. Step 5: Solve for x
    x = 294,241,433,462.78/598,180.41
  6. Step 6: Final answer
    x = 491,894.13

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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.