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Finding the Fourth Proportional to 276,646.35, 414,969.53 and 276,646.35

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Solution

The fourth proportional to 276,646.35, 414,969.53 and 276,646.35 is: 414,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,646.35 : 414,969.53 = 276,646.35 : x
  2. Step 2: Convert to fraction form
    276,646.35/414,969.53 = 276,646.35/x
  3. Step 3: Cross multiply
    276,646.35x = 414,969.53 × 276,646.35
  4. Step 4: Simplify right side
    276,646.35x = 114,799,804,452.48
  5. Step 5: Solve for x
    x = 114,799,804,452.48/276,646.35
  6. Step 6: Final answer
    x = 414,969.53

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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.