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Finding the Fourth Proportional to 344,954.28, 517,509.16 and 105,089.64

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Solution

The fourth proportional to 344,954.28, 517,509.16 and 105,089.64 is: 157,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,954.28 : 517,509.16 = 105,089.64 : x
  2. Step 2: Convert to fraction form
    344,954.28/517,509.16 = 105,089.64/x
  3. Step 3: Cross multiply
    344,954.28x = 517,509.16 × 105,089.64
  4. Step 4: Simplify right side
    344,954.28x = 54,384,851,321.10
  5. Step 5: Solve for x
    x = 54,384,851,321.10/344,954.28
  6. Step 6: Final answer
    x = 157,658.14

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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.