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Finding the Fourth Proportional to 349,200, 481,896 and 190,224

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Solution

The fourth proportional to 349,200, 481,896 and 190,224 is: 262,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,200 : 481,896 = 190,224 : x
  2. Step 2: Convert to fraction form
    349,200/481,896 = 190,224/x
  3. Step 3: Cross multiply
    349,200x = 481,896 × 190,224
  4. Step 4: Simplify right side
    349,200x = 91,668,184,704
  5. Step 5: Solve for x
    x = 91,668,184,704/349,200
  6. Step 6: Final answer
    x = 262,509.12

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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.