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Finding the Fourth Proportional to 687,563.93, 948,823.52 and 381,622.47

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Solution

The fourth proportional to 687,563.93, 948,823.52 and 381,622.47 is: 526,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,563.93 : 948,823.52 = 381,622.47 : x
  2. Step 2: Convert to fraction form
    687,563.93/948,823.52 = 381,622.47/x
  3. Step 3: Cross multiply
    687,563.93x = 948,823.52 × 381,622.47
  4. Step 4: Simplify right side
    687,563.93x = 362,092,373,388.38
  5. Step 5: Solve for x
    x = 362,092,373,388.38/687,563.93
  6. Step 6: Final answer
    x = 526,630.85

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Why These Related Problems?

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