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Finding the Fourth Proportional to 399,856.01, 599,784 and 160,077.85

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Solution

The fourth proportional to 399,856.01, 599,784 and 160,077.85 is: 240,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,856.01 : 599,784 = 160,077.85 : x
  2. Step 2: Convert to fraction form
    399,856.01/599,784 = 160,077.85/x
  3. Step 3: Cross multiply
    399,856.01x = 599,784 × 160,077.85
  4. Step 4: Simplify right side
    399,856.01x = 96,012,130,185.48
  5. Step 5: Solve for x
    x = 96,012,130,185.48/399,856.01
  6. Step 6: Final answer
    x = 240,116.76

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Why These Related Problems?

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