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Finding the Fourth Proportional to 198,494.64, 297,718.72 and 56,352.40

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Solution

The fourth proportional to 198,494.64, 297,718.72 and 56,352.40 is: 84,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,494.64 : 297,718.72 = 56,352.40 : x
  2. Step 2: Convert to fraction form
    198,494.64/297,718.72 = 56,352.40/x
  3. Step 3: Cross multiply
    198,494.64x = 297,718.72 × 56,352.40
  4. Step 4: Simplify right side
    198,494.64x = 16,777,164,396.93
  5. Step 5: Solve for x
    x = 16,777,164,396.93/198,494.64
  6. Step 6: Final answer
    x = 84,522.00

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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.