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Finding the Fourth Proportional to 341,202.88, 470,361.54 and 238,906

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Solution

The fourth proportional to 341,202.88, 470,361.54 and 238,906 is: 329,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,202.88 : 470,361.54 = 238,906 : x
  2. Step 2: Convert to fraction form
    341,202.88/470,361.54 = 238,906/x
  3. Step 3: Cross multiply
    341,202.88x = 470,361.54 × 238,906
  4. Step 4: Simplify right side
    341,202.88x = 112,372,194,075.24
  5. Step 5: Solve for x
    x = 112,372,194,075.24/341,202.88
  6. Step 6: Final answer
    x = 329,341.28

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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.