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Finding the Fourth Proportional to 380,511.60, 525,113.40 and 219,339.60

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Solution

The fourth proportional to 380,511.60, 525,113.40 and 219,339.60 is: 302,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,511.60 : 525,113.40 = 219,339.60 : x
  2. Step 2: Convert to fraction form
    380,511.60/525,113.40 = 219,339.60/x
  3. Step 3: Cross multiply
    380,511.60x = 525,113.40 × 219,339.60
  4. Step 4: Simplify right side
    380,511.60x = 115,178,163,110.64
  5. Step 5: Solve for x
    x = 115,178,163,110.64/380,511.60
  6. Step 6: Final answer
    x = 302,692.91

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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.