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Finding the Fourth Proportional to 296,285.23, 408,870.54 and 160,316.17

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Solution

The fourth proportional to 296,285.23, 408,870.54 and 160,316.17 is: 221,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,285.23 : 408,870.54 = 160,316.17 : x
  2. Step 2: Convert to fraction form
    296,285.23/408,870.54 = 160,316.17/x
  3. Step 3: Cross multiply
    296,285.23x = 408,870.54 × 160,316.17
  4. Step 4: Simplify right side
    296,285.23x = 65,548,558,998.63
  5. Step 5: Solve for x
    x = 65,548,558,998.63/296,285.23
  6. Step 6: Final answer
    x = 221,234.65

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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.