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Finding the Fourth Proportional to 463,783.86, 698,834.86 and 381,389.58

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Solution

The fourth proportional to 463,783.86, 698,834.86 and 381,389.58 is: 574,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,783.86 : 698,834.86 = 381,389.58 : x
  2. Step 2: Convert to fraction form
    463,783.86/698,834.86 = 381,389.58/x
  3. Step 3: Cross multiply
    463,783.86x = 698,834.86 × 381,389.58
  4. Step 4: Simplify right side
    463,783.86x = 266,528,332,791.29
  5. Step 5: Solve for x
    x = 266,528,332,791.29/463,783.86
  6. Step 6: Final answer
    x = 574,682.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.