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Finding the Fourth Proportional to 262,009, 393,013.50 and 65,017

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Solution

The fourth proportional to 262,009, 393,013.50 and 65,017 is: 97,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,009 : 393,013.50 = 65,017 : x
  2. Step 2: Convert to fraction form
    262,009/393,013.50 = 65,017/x
  3. Step 3: Cross multiply
    262,009x = 393,013.50 × 65,017
  4. Step 4: Simplify right side
    262,009x = 25,552,558,729.50
  5. Step 5: Solve for x
    x = 25,552,558,729.50/262,009
  6. Step 6: Final answer
    x = 97,525.50

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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.