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Finding the Fourth Proportional to 254,407.42, 380,885.37 and 201,893.50

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Solution

The fourth proportional to 254,407.42, 380,885.37 and 201,893.50 is: 302,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,407.42 : 380,885.37 = 201,893.50 : x
  2. Step 2: Convert to fraction form
    254,407.42/380,885.37 = 201,893.50/x
  3. Step 3: Cross multiply
    254,407.42x = 380,885.37 × 201,893.50
  4. Step 4: Simplify right side
    254,407.42x = 76,898,280,448.10
  5. Step 5: Solve for x
    x = 76,898,280,448.10/254,407.42
  6. Step 6: Final answer
    x = 302,264.30

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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.