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Finding the Fourth Proportional to 292,311.70, 438,467.55 and 105,329.30

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Solution

The fourth proportional to 292,311.70, 438,467.55 and 105,329.30 is: 157,993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,311.70 : 438,467.55 = 105,329.30 : x
  2. Step 2: Convert to fraction form
    292,311.70/438,467.55 = 105,329.30/x
  3. Step 3: Cross multiply
    292,311.70x = 438,467.55 × 105,329.30
  4. Step 4: Simplify right side
    292,311.70x = 46,183,480,114.22
  5. Step 5: Solve for x
    x = 46,183,480,114.22/292,311.70
  6. Step 6: Final answer
    x = 157,993.95

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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.