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Finding the Fourth Proportional to 598,428.80, 897,643.20 and 574,809.20

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Solution

The fourth proportional to 598,428.80, 897,643.20 and 574,809.20 is: 862,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,428.80 : 897,643.20 = 574,809.20 : x
  2. Step 2: Convert to fraction form
    598,428.80/897,643.20 = 574,809.20/x
  3. Step 3: Cross multiply
    598,428.80x = 897,643.20 × 574,809.20
  4. Step 4: Simplify right side
    598,428.80x = 515,973,569,677.44
  5. Step 5: Solve for x
    x = 515,973,569,677.44/598,428.80
  6. Step 6: Final answer
    x = 862,213.80

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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.