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Finding the Fourth Proportional to 468,610.40, 702,915.60 and 343,272.80

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Solution

The fourth proportional to 468,610.40, 702,915.60 and 343,272.80 is: 514,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,610.40 : 702,915.60 = 343,272.80 : x
  2. Step 2: Convert to fraction form
    468,610.40/702,915.60 = 343,272.80/x
  3. Step 3: Cross multiply
    468,610.40x = 702,915.60 × 343,272.80
  4. Step 4: Simplify right side
    468,610.40x = 241,291,806,175.68
  5. Step 5: Solve for x
    x = 241,291,806,175.68/468,610.40
  6. Step 6: Final answer
    x = 514,909.20

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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.