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Finding the Fourth Proportional to 415,866.60, 573,984.84 and 262,807.38

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Solution

The fourth proportional to 415,866.60, 573,984.84 and 262,807.38 is: 362,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,866.60 : 573,984.84 = 262,807.38 : x
  2. Step 2: Convert to fraction form
    415,866.60/573,984.84 = 262,807.38/x
  3. Step 3: Cross multiply
    415,866.60x = 573,984.84 × 262,807.38
  4. Step 4: Simplify right side
    415,866.60x = 150,847,451,960.12
  5. Step 5: Solve for x
    x = 150,847,451,960.12/415,866.60
  6. Step 6: Final answer
    x = 362,730.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.