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Finding the Fourth Proportional to 399,855.74, 599,783.54 and 160,077.57

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Solution

The fourth proportional to 399,855.74, 599,783.54 and 160,077.57 is: 240,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,855.74 : 599,783.54 = 160,077.57 : x
  2. Step 2: Convert to fraction form
    399,855.74/599,783.54 = 160,077.57/x
  3. Step 3: Cross multiply
    399,855.74x = 599,783.54 × 160,077.57
  4. Step 4: Simplify right side
    399,855.74x = 96,011,888,559.62
  5. Step 5: Solve for x
    x = 96,011,888,559.62/399,855.74
  6. Step 6: Final answer
    x = 240,116.32

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1.5x scale

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.