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Finding the Fourth Proportional to 341,564.65, 471,492.14 and 305,692.36

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Solution

The fourth proportional to 341,564.65, 471,492.14 and 305,692.36 is: 421,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,564.65 : 471,492.14 = 305,692.36 : x
  2. Step 2: Convert to fraction form
    341,564.65/471,492.14 = 305,692.36/x
  3. Step 3: Cross multiply
    341,564.65x = 471,492.14 × 305,692.36
  4. Step 4: Simplify right side
    341,564.65x = 144,131,541,112.13
  5. Step 5: Solve for x
    x = 144,131,541,112.13/341,564.65
  6. Step 6: Final answer
    x = 421,974.41

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