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Finding the Fourth Proportional to 231,716, 346,802.52 and 175,244.96

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Solution

The fourth proportional to 231,716, 346,802.52 and 175,244.96 is: 262,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,716 : 346,802.52 = 175,244.96 : x
  2. Step 2: Convert to fraction form
    231,716/346,802.52 = 175,244.96/x
  3. Step 3: Cross multiply
    231,716x = 346,802.52 × 175,244.96
  4. Step 4: Simplify right side
    231,716x = 60,775,393,745.30
  5. Step 5: Solve for x
    x = 60,775,393,745.30/231,716
  6. Step 6: Final answer
    x = 262,283.98

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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.