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Finding the Fourth Proportional to 598,563.20, 896,678.40 and 361,200.80

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Solution

The fourth proportional to 598,563.20, 896,678.40 and 361,200.80 is: 541,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,563.20 : 896,678.40 = 361,200.80 : x
  2. Step 2: Convert to fraction form
    598,563.20/896,678.40 = 361,200.80/x
  3. Step 3: Cross multiply
    598,563.20x = 896,678.40 × 361,200.80
  4. Step 4: Simplify right side
    598,563.20x = 323,880,955,422.72
  5. Step 5: Solve for x
    x = 323,880,955,422.72/598,563.20
  6. Step 6: Final answer
    x = 541,097.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.