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Finding the Fourth Proportional to 460,885.50, 691,328.66 and 128,461.50

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Solution

The fourth proportional to 460,885.50, 691,328.66 and 128,461.50 is: 192,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,885.50 : 691,328.66 = 128,461.50 : x
  2. Step 2: Convert to fraction form
    460,885.50/691,328.66 = 128,461.50/x
  3. Step 3: Cross multiply
    460,885.50x = 691,328.66 × 128,461.50
  4. Step 4: Simplify right side
    460,885.50x = 88,809,116,014.28
  5. Step 5: Solve for x
    x = 88,809,116,014.28/460,885.50
  6. Step 6: Final answer
    x = 192,692.36

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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.