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Finding the Fourth Proportional to 655,467.36, 983,176.32 and 271,206

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Solution

The fourth proportional to 655,467.36, 983,176.32 and 271,206 is: 406,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,467.36 : 983,176.32 = 271,206 : x
  2. Step 2: Convert to fraction form
    655,467.36/983,176.32 = 271,206/x
  3. Step 3: Cross multiply
    655,467.36x = 983,176.32 × 271,206
  4. Step 4: Simplify right side
    655,467.36x = 266,643,317,041.92
  5. Step 5: Solve for x
    x = 266,643,317,041.92/655,467.36
  6. Step 6: Final answer
    x = 406,798.77

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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.