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Finding the Fourth Proportional to 292,722.60, 438,047.10 and 199,410.60

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Solution

The fourth proportional to 292,722.60, 438,047.10 and 199,410.60 is: 298,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,722.60 : 438,047.10 = 199,410.60 : x
  2. Step 2: Convert to fraction form
    292,722.60/438,047.10 = 199,410.60/x
  3. Step 3: Cross multiply
    292,722.60x = 438,047.10 × 199,410.60
  4. Step 4: Simplify right side
    292,722.60x = 87,351,235,039.26
  5. Step 5: Solve for x
    x = 87,351,235,039.26/292,722.60
  6. Step 6: Final answer
    x = 298,409.60

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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.