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Finding the Fourth Proportional to 463,783.12, 698,833.72 and 381,388.84

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Solution

The fourth proportional to 463,783.12, 698,833.72 and 381,388.84 is: 574,681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,783.12 : 698,833.72 = 381,388.84 : x
  2. Step 2: Convert to fraction form
    463,783.12/698,833.72 = 381,388.84/x
  3. Step 3: Cross multiply
    463,783.12x = 698,833.72 × 381,388.84
  4. Step 4: Simplify right side
    463,783.12x = 266,527,381,823.69
  5. Step 5: Solve for x
    x = 266,527,381,823.69/463,783.12
  6. Step 6: Final answer
    x = 574,681.07

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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.