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Finding the Fourth Proportional to 292,311.20, 438,466.80 and 105,328.80

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Solution

The fourth proportional to 292,311.20, 438,466.80 and 105,328.80 is: 157,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,311.20 : 438,466.80 = 105,328.80 : x
  2. Step 2: Convert to fraction form
    292,311.20/438,466.80 = 105,328.80/x
  3. Step 3: Cross multiply
    292,311.20x = 438,466.80 × 105,328.80
  4. Step 4: Simplify right side
    292,311.20x = 46,183,181,883.84
  5. Step 5: Solve for x
    x = 46,183,181,883.84/292,311.20
  6. Step 6: Final answer
    x = 157,993.20

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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.