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Finding the Fourth Proportional to 415,345.20, 622,985.40 and 162,576.60

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Solution

The fourth proportional to 415,345.20, 622,985.40 and 162,576.60 is: 243,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,345.20 : 622,985.40 = 162,576.60 : x
  2. Step 2: Convert to fraction form
    415,345.20/622,985.40 = 162,576.60/x
  3. Step 3: Cross multiply
    415,345.20x = 622,985.40 × 162,576.60
  4. Step 4: Simplify right side
    415,345.20x = 101,282,848,181.64
  5. Step 5: Solve for x
    x = 101,282,848,181.64/415,345.20
  6. Step 6: Final answer
    x = 243,852.22

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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.