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Finding the Fourth Proportional to 655,314.86, 983,325.45 and 276,498.14

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Solution

The fourth proportional to 655,314.86, 983,325.45 and 276,498.14 is: 414,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,314.86 : 983,325.45 = 276,498.14 : x
  2. Step 2: Convert to fraction form
    655,314.86/983,325.45 = 276,498.14/x
  3. Step 3: Cross multiply
    655,314.86x = 983,325.45 × 276,498.14
  4. Step 4: Simplify right side
    655,314.86x = 271,887,657,939.66
  5. Step 5: Solve for x
    x = 271,887,657,939.66/655,314.86
  6. Step 6: Final answer
    x = 414,896.22

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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.