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Finding the Fourth Proportional to 512,201.40, 768,302.10 and 276,005.40

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Solution

The fourth proportional to 512,201.40, 768,302.10 and 276,005.40 is: 414,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,201.40 : 768,302.10 = 276,005.40 : x
  2. Step 2: Convert to fraction form
    512,201.40/768,302.10 = 276,005.40/x
  3. Step 3: Cross multiply
    512,201.40x = 768,302.10 × 276,005.40
  4. Step 4: Simplify right side
    512,201.40x = 212,055,528,431.34
  5. Step 5: Solve for x
    x = 212,055,528,431.34/512,201.40
  6. Step 6: Final answer
    x = 414,008.10

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1.5x scale

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.