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Finding the Fourth Proportional to 340,357.86, 510,592.25 and 100,496.01

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Solution

The fourth proportional to 340,357.86, 510,592.25 and 100,496.01 is: 150,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,357.86 : 510,592.25 = 100,496.01 : x
  2. Step 2: Convert to fraction form
    340,357.86/510,592.25 = 100,496.01/x
  3. Step 3: Cross multiply
    340,357.86x = 510,592.25 × 100,496.01
  4. Step 4: Simplify right side
    340,357.86x = 51,312,481,308.96
  5. Step 5: Solve for x
    x = 51,312,481,308.96/340,357.86
  6. Step 6: Final answer
    x = 150,760.38

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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.