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Finding the Fourth Proportional to 526,408.73, 789,963.42 and 286,583.12

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Solution

The fourth proportional to 526,408.73, 789,963.42 and 286,583.12 is: 430,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,408.73 : 789,963.42 = 286,583.12 : x
  2. Step 2: Convert to fraction form
    526,408.73/789,963.42 = 286,583.12/x
  3. Step 3: Cross multiply
    526,408.73x = 789,963.42 × 286,583.12
  4. Step 4: Simplify right side
    526,408.73x = 226,390,177,639.65
  5. Step 5: Solve for x
    x = 226,390,177,639.65/526,408.73
  6. Step 6: Final answer
    x = 430,065.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.