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Finding the Fourth Proportional to 512,499.64, 768,312.06 and 362,267.32

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Solution

The fourth proportional to 512,499.64, 768,312.06 and 362,267.32 is: 543,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,499.64 : 768,312.06 = 362,267.32 : x
  2. Step 2: Convert to fraction form
    512,499.64/768,312.06 = 362,267.32/x
  3. Step 3: Cross multiply
    512,499.64x = 768,312.06 × 362,267.32
  4. Step 4: Simplify right side
    512,499.64x = 278,334,350,899.88
  5. Step 5: Solve for x
    x = 278,334,350,899.88/512,499.64
  6. Step 6: Final answer
    x = 543,091.80

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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.