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Finding the Fourth Proportional to 646,219, 968,879.62 and 286,193.67

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Solution

The fourth proportional to 646,219, 968,879.62 and 286,193.67 is: 429,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,219 : 968,879.62 = 286,193.67 : x
  2. Step 2: Convert to fraction form
    646,219/968,879.62 = 286,193.67/x
  3. Step 3: Cross multiply
    646,219x = 968,879.62 × 286,193.67
  4. Step 4: Simplify right side
    646,219x = 277,287,214,236.01
  5. Step 5: Solve for x
    x = 277,287,214,236.01/646,219
  6. Step 6: Final answer
    x = 429,091.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.