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Finding the Fourth Proportional to 473,266.60, 709,640.70 and 192,466.60

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Solution

The fourth proportional to 473,266.60, 709,640.70 and 192,466.60 is: 288,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,266.60 : 709,640.70 = 192,466.60 : x
  2. Step 2: Convert to fraction form
    473,266.60/709,640.70 = 192,466.60/x
  3. Step 3: Cross multiply
    473,266.60x = 709,640.70 × 192,466.60
  4. Step 4: Simplify right side
    473,266.60x = 136,582,132,750.62
  5. Step 5: Solve for x
    x = 136,582,132,750.62/473,266.60
  6. Step 6: Final answer
    x = 288,594.49

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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.