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Finding the Fourth Proportional to 368,271.96, 508,254.30 and 225,115.80

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Solution

The fourth proportional to 368,271.96, 508,254.30 and 225,115.80 is: 310,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,271.96 : 508,254.30 = 225,115.80 : x
  2. Step 2: Convert to fraction form
    368,271.96/508,254.30 = 225,115.80/x
  3. Step 3: Cross multiply
    368,271.96x = 508,254.30 × 225,115.80
  4. Step 4: Simplify right side
    368,271.96x = 114,416,073,347.94
  5. Step 5: Solve for x
    x = 114,416,073,347.94/368,271.96
  6. Step 6: Final answer
    x = 310,683.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.