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Finding the Fourth Proportional to 411,466.58, 617,137.59 and 111,970.51

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Solution

The fourth proportional to 411,466.58, 617,137.59 and 111,970.51 is: 167,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,466.58 : 617,137.59 = 111,970.51 : x
  2. Step 2: Convert to fraction form
    411,466.58/617,137.59 = 111,970.51/x
  3. Step 3: Cross multiply
    411,466.58x = 617,137.59 × 111,970.51
  4. Step 4: Simplify right side
    411,466.58x = 69,101,212,647.04
  5. Step 5: Solve for x
    x = 69,101,212,647.04/411,466.58
  6. Step 6: Final answer
    x = 167,938.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.