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Finding the Fourth Proportional to 340,214.40, 510,321.60 and 190,915.20

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Solution

The fourth proportional to 340,214.40, 510,321.60 and 190,915.20 is: 286,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,214.40 : 510,321.60 = 190,915.20 : x
  2. Step 2: Convert to fraction form
    340,214.40/510,321.60 = 190,915.20/x
  3. Step 3: Cross multiply
    340,214.40x = 510,321.60 × 190,915.20
  4. Step 4: Simplify right side
    340,214.40x = 97,428,150,328.32
  5. Step 5: Solve for x
    x = 97,428,150,328.32/340,214.40
  6. Step 6: Final answer
    x = 286,372.80

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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.