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Finding the Fourth Proportional to 264,476.16, 396,662.40 and 77,437.44

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Solution

The fourth proportional to 264,476.16, 396,662.40 and 77,437.44 is: 116,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,476.16 : 396,662.40 = 77,437.44 : x
  2. Step 2: Convert to fraction form
    264,476.16/396,662.40 = 77,437.44/x
  3. Step 3: Cross multiply
    264,476.16x = 396,662.40 × 77,437.44
  4. Step 4: Simplify right side
    264,476.16x = 30,716,520,800.26
  5. Step 5: Solve for x
    x = 30,716,520,800.26/264,476.16
  6. Step 6: Final answer
    x = 116,140.98

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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.