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Finding the Fourth Proportional to 655,709.87, 983,837.12 and 313,981.40

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Solution

The fourth proportional to 655,709.87, 983,837.12 and 313,981.40 is: 471,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,709.87 : 983,837.12 = 313,981.40 : x
  2. Step 2: Convert to fraction form
    655,709.87/983,837.12 = 313,981.40/x
  3. Step 3: Cross multiply
    655,709.87x = 983,837.12 × 313,981.40
  4. Step 4: Simplify right side
    655,709.87x = 308,906,556,309.57
  5. Step 5: Solve for x
    x = 308,906,556,309.57/655,709.87
  6. Step 6: Final answer
    x = 471,102.50

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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.