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Finding the Fourth Proportional to 522,779.40, 783,132.30 and 311,790.60

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Solution

The fourth proportional to 522,779.40, 783,132.30 and 311,790.60 is: 467,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,779.40 : 783,132.30 = 311,790.60 : x
  2. Step 2: Convert to fraction form
    522,779.40/783,132.30 = 311,790.60/x
  3. Step 3: Cross multiply
    522,779.40x = 783,132.30 × 311,790.60
  4. Step 4: Simplify right side
    522,779.40x = 244,173,289,696.38
  5. Step 5: Solve for x
    x = 244,173,289,696.38/522,779.40
  6. Step 6: Final answer
    x = 467,067.54

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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.