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Finding the Fourth Proportional to 507,138.19, 699,872.58 and 280,783.69

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Solution

The fourth proportional to 507,138.19, 699,872.58 and 280,783.69 is: 387,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,138.19 : 699,872.58 = 280,783.69 : x
  2. Step 2: Convert to fraction form
    507,138.19/699,872.58 = 280,783.69/x
  3. Step 3: Cross multiply
    507,138.19x = 699,872.58 × 280,783.69
  4. Step 4: Simplify right side
    507,138.19x = 196,512,803,792.54
  5. Step 5: Solve for x
    x = 196,512,803,792.54/507,138.19
  6. Step 6: Final answer
    x = 387,493.60

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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.