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Finding the Fourth Proportional to 343,544, 473,929.44 and 242,997.44

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Solution

The fourth proportional to 343,544, 473,929.44 and 242,997.44 is: 335,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,544 : 473,929.44 = 242,997.44 : x
  2. Step 2: Convert to fraction form
    343,544/473,929.44 = 242,997.44/x
  3. Step 3: Cross multiply
    343,544x = 473,929.44 × 242,997.44
  4. Step 4: Simplify right side
    343,544x = 115,163,640,660.63
  5. Step 5: Solve for x
    x = 115,163,640,660.63/343,544
  6. Step 6: Final answer
    x = 335,222.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.