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Finding the Fourth Proportional to 598,515.60, 825,838.38 and 356,820.48

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Solution

The fourth proportional to 598,515.60, 825,838.38 and 356,820.48 is: 492,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,515.60 : 825,838.38 = 356,820.48 : x
  2. Step 2: Convert to fraction form
    598,515.60/825,838.38 = 356,820.48/x
  3. Step 3: Cross multiply
    598,515.60x = 825,838.38 × 356,820.48
  4. Step 4: Simplify right side
    598,515.60x = 294,676,047,154.02
  5. Step 5: Solve for x
    x = 294,676,047,154.02/598,515.60
  6. Step 6: Final answer
    x = 492,344.81

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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.