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Finding the Fourth Proportional to 397,885.50, 596,844.72 and 117,402.75

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Solution

The fourth proportional to 397,885.50, 596,844.72 and 117,402.75 is: 176,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,885.50 : 596,844.72 = 117,402.75 : x
  2. Step 2: Convert to fraction form
    397,885.50/596,844.72 = 117,402.75/x
  3. Step 3: Cross multiply
    397,885.50x = 596,844.72 × 117,402.75
  4. Step 4: Simplify right side
    397,885.50x = 70,071,211,450.98
  5. Step 5: Solve for x
    x = 70,071,211,450.98/397,885.50
  6. Step 6: Final answer
    x = 176,108.98

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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.