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Finding the Fourth Proportional to 415,427.84, 622,692.48 and 165,835.52

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Solution

The fourth proportional to 415,427.84, 622,692.48 and 165,835.52 is: 248,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,427.84 : 622,692.48 = 165,835.52 : x
  2. Step 2: Convert to fraction form
    415,427.84/622,692.48 = 165,835.52/x
  3. Step 3: Cross multiply
    415,427.84x = 622,692.48 × 165,835.52
  4. Step 4: Simplify right side
    415,427.84x = 103,264,531,220.89
  5. Step 5: Solve for x
    x = 103,264,531,220.89/415,427.84
  6. Step 6: Final answer
    x = 248,573.93

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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.