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Finding the Fourth Proportional to 786,241, 1,179,361.50 and 260,929

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Solution

The fourth proportional to 786,241, 1,179,361.50 and 260,929 is: 391,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,241 : 1,179,361.50 = 260,929 : x
  2. Step 2: Convert to fraction form
    786,241/1,179,361.50 = 260,929/x
  3. Step 3: Cross multiply
    786,241x = 1,179,361.50 × 260,929
  4. Step 4: Simplify right side
    786,241x = 307,729,616,833.50
  5. Step 5: Solve for x
    x = 307,729,616,833.50/786,241
  6. Step 6: Final answer
    x = 391,393.50

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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.