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Finding the Fourth Proportional to 492,819, 680,113.98 and 277,954.22

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Solution

The fourth proportional to 492,819, 680,113.98 and 277,954.22 is: 383,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,819 : 680,113.98 = 277,954.22 : x
  2. Step 2: Convert to fraction form
    492,819/680,113.98 = 277,954.22/x
  3. Step 3: Cross multiply
    492,819x = 680,113.98 × 277,954.22
  4. Step 4: Simplify right side
    492,819x = 189,040,547,421.43
  5. Step 5: Solve for x
    x = 189,040,547,421.43/492,819
  6. Step 6: Final answer
    x = 383,590.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.