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Finding the Fourth Proportional to 598,149.20, 897,223.80 and 465,438.80

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Solution

The fourth proportional to 598,149.20, 897,223.80 and 465,438.80 is: 698,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,149.20 : 897,223.80 = 465,438.80 : x
  2. Step 2: Convert to fraction form
    598,149.20/897,223.80 = 465,438.80/x
  3. Step 3: Cross multiply
    598,149.20x = 897,223.80 × 465,438.80
  4. Step 4: Simplify right side
    598,149.20x = 417,602,768,803.44
  5. Step 5: Solve for x
    x = 417,602,768,803.44/598,149.20
  6. Step 6: Final answer
    x = 698,158.20

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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.