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Finding the Fourth Proportional to 384,993.39, 577,102.34 and 160,478.10

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Solution

The fourth proportional to 384,993.39, 577,102.34 and 160,478.10 is: 240,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,993.39 : 577,102.34 = 160,478.10 : x
  2. Step 2: Convert to fraction form
    384,993.39/577,102.34 = 160,478.10/x
  3. Step 3: Cross multiply
    384,993.39x = 577,102.34 × 160,478.10
  4. Step 4: Simplify right side
    384,993.39x = 92,612,286,226.36
  5. Step 5: Solve for x
    x = 92,612,286,226.36/384,993.39
  6. Step 6: Final answer
    x = 240,555.52

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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.