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Finding the Fourth Proportional to 411,161.60, 616,742.40 and 234,014.60

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Solution

The fourth proportional to 411,161.60, 616,742.40 and 234,014.60 is: 351,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,161.60 : 616,742.40 = 234,014.60 : x
  2. Step 2: Convert to fraction form
    411,161.60/616,742.40 = 234,014.60/x
  3. Step 3: Cross multiply
    411,161.60x = 616,742.40 × 234,014.60
  4. Step 4: Simplify right side
    411,161.60x = 144,326,726,039.04
  5. Step 5: Solve for x
    x = 144,326,726,039.04/411,161.60
  6. Step 6: Final answer
    x = 351,021.90

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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.