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Finding the Fourth Proportional to 823,085.70, 1,234,628.55 and 823,085.70

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Solution

The fourth proportional to 823,085.70, 1,234,628.55 and 823,085.70 is: 1,234,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,085.70 : 1,234,628.55 = 823,085.70 : x
  2. Step 2: Convert to fraction form
    823,085.70/1,234,628.55 = 823,085.70/x
  3. Step 3: Cross multiply
    823,085.70x = 1,234,628.55 × 823,085.70
  4. Step 4: Simplify right side
    823,085.70x = 1,016,205,104,316.74
  5. Step 5: Solve for x
    x = 1,016,205,104,316.74/823,085.70
  6. Step 6: Final answer
    x = 1,234,628.55

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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.