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Finding the Fourth Proportional to 512,501.64, 768,315.06 and 362,269.32

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Solution

The fourth proportional to 512,501.64, 768,315.06 and 362,269.32 is: 543,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,501.64 : 768,315.06 = 362,269.32 : x
  2. Step 2: Convert to fraction form
    512,501.64/768,315.06 = 362,269.32/x
  3. Step 3: Cross multiply
    512,501.64x = 768,315.06 × 362,269.32
  4. Step 4: Simplify right side
    512,501.64x = 278,336,974,331.96
  5. Step 5: Solve for x
    x = 278,336,974,331.96/512,501.64
  6. Step 6: Final answer
    x = 543,094.80

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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.