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Finding the Fourth Proportional to 382,898.70, 574,348.14 and 172,290.60

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Solution

The fourth proportional to 382,898.70, 574,348.14 and 172,290.60 is: 258,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,898.70 : 574,348.14 = 172,290.60 : x
  2. Step 2: Convert to fraction form
    382,898.70/574,348.14 = 172,290.60/x
  3. Step 3: Cross multiply
    382,898.70x = 574,348.14 × 172,290.60
  4. Step 4: Simplify right side
    382,898.70x = 98,954,785,649.48
  5. Step 5: Solve for x
    x = 98,954,785,649.48/382,898.70
  6. Step 6: Final answer
    x = 258,435.94

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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.