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Finding the Fourth Proportional to 296,477.87, 409,139.63 and 160,511.85

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Solution

The fourth proportional to 296,477.87, 409,139.63 and 160,511.85 is: 221,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,477.87 : 409,139.63 = 160,511.85 : x
  2. Step 2: Convert to fraction form
    296,477.87/409,139.63 = 160,511.85/x
  3. Step 3: Cross multiply
    296,477.87x = 409,139.63 × 160,511.85
  4. Step 4: Simplify right side
    296,477.87x = 65,671,760,321.12
  5. Step 5: Solve for x
    x = 65,671,760,321.12/296,477.87
  6. Step 6: Final answer
    x = 221,506.45

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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.