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Finding the Fourth Proportional to 489,805.70, 684,328.30 and 489,805.70

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Solution

The fourth proportional to 489,805.70, 684,328.30 and 489,805.70 is: 684,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,805.70 : 684,328.30 = 489,805.70 : x
  2. Step 2: Convert to fraction form
    489,805.70/684,328.30 = 489,805.70/x
  3. Step 3: Cross multiply
    489,805.70x = 684,328.30 × 489,805.70
  4. Step 4: Simplify right side
    489,805.70x = 335,187,902,011.31
  5. Step 5: Solve for x
    x = 335,187,902,011.31/489,805.70
  6. Step 6: Final answer
    x = 684,328.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.