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Finding the Fourth Proportional to 343,418.84, 473,946.38 and 190,506.34

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Solution

The fourth proportional to 343,418.84, 473,946.38 and 190,506.34 is: 262,914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,418.84 : 473,946.38 = 190,506.34 : x
  2. Step 2: Convert to fraction form
    343,418.84/473,946.38 = 190,506.34/x
  3. Step 3: Cross multiply
    343,418.84x = 473,946.38 × 190,506.34
  4. Step 4: Simplify right side
    343,418.84x = 90,289,787,898.40
  5. Step 5: Solve for x
    x = 90,289,787,898.40/343,418.84
  6. Step 6: Final answer
    x = 262,914.48

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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.