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Finding the Fourth Proportional to 275,752.16, 413,978.24 and 234,461.60

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Solution

The fourth proportional to 275,752.16, 413,978.24 and 234,461.60 is: 351,989.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,752.16 : 413,978.24 = 234,461.60 : x
  2. Step 2: Convert to fraction form
    275,752.16/413,978.24 = 234,461.60/x
  3. Step 3: Cross multiply
    275,752.16x = 413,978.24 × 234,461.60
  4. Step 4: Simplify right side
    275,752.16x = 97,062,000,515.58
  5. Step 5: Solve for x
    x = 97,062,000,515.58/275,752.16
  6. Step 6: Final answer
    x = 351,989.99

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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.