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Finding the Fourth Proportional to 340,980, 470,552.43 and 190,077

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Solution

The fourth proportional to 340,980, 470,552.43 and 190,077 is: 262,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,980 : 470,552.43 = 190,077 : x
  2. Step 2: Convert to fraction form
    340,980/470,552.43 = 190,077/x
  3. Step 3: Cross multiply
    340,980x = 470,552.43 × 190,077
  4. Step 4: Simplify right side
    340,980x = 89,441,194,237.11
  5. Step 5: Solve for x
    x = 89,441,194,237.11/340,980
  6. Step 6: Final answer
    x = 262,306.28

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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.