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Finding the Fourth Proportional to 415,022.60, 622,533.90 and 415,022.60

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Solution

The fourth proportional to 415,022.60, 622,533.90 and 415,022.60 is: 622,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,022.60 : 622,533.90 = 415,022.60 : x
  2. Step 2: Convert to fraction form
    415,022.60/622,533.90 = 415,022.60/x
  3. Step 3: Cross multiply
    415,022.60x = 622,533.90 × 415,022.60
  4. Step 4: Simplify right side
    415,022.60x = 258,365,637,766.14
  5. Step 5: Solve for x
    x = 258,365,637,766.14/415,022.60
  6. Step 6: Final answer
    x = 622,533.90

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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.