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Finding the Fourth Proportional to 346,468.20, 519,775.20 and 109,834.80

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Solution

The fourth proportional to 346,468.20, 519,775.20 and 109,834.80 is: 164,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,468.20 : 519,775.20 = 109,834.80 : x
  2. Step 2: Convert to fraction form
    346,468.20/519,775.20 = 109,834.80/x
  3. Step 3: Cross multiply
    346,468.20x = 519,775.20 × 109,834.80
  4. Step 4: Simplify right side
    346,468.20x = 57,089,405,136.96
  5. Step 5: Solve for x
    x = 57,089,405,136.96/346,468.20
  6. Step 6: Final answer
    x = 164,775.31

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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.