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Finding the Fourth Proportional to 552,729.94, 827,766.27 and 315,352.96

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Solution

The fourth proportional to 552,729.94, 827,766.27 and 315,352.96 is: 472,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,729.94 : 827,766.27 = 315,352.96 : x
  2. Step 2: Convert to fraction form
    552,729.94/827,766.27 = 315,352.96/x
  3. Step 3: Cross multiply
    552,729.94x = 827,766.27 × 315,352.96
  4. Step 4: Simplify right side
    552,729.94x = 261,038,537,717.06
  5. Step 5: Solve for x
    x = 261,038,537,717.06/552,729.94
  6. Step 6: Final answer
    x = 472,271.40

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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.