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Finding the Fourth Proportional to 428,692.60, 642,907.56 and 296,422.84

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Solution

The fourth proportional to 428,692.60, 642,907.56 and 296,422.84 is: 444,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,692.60 : 642,907.56 = 296,422.84 : x
  2. Step 2: Convert to fraction form
    428,692.60/642,907.56 = 296,422.84/x
  3. Step 3: Cross multiply
    428,692.60x = 642,907.56 × 296,422.84
  4. Step 4: Simplify right side
    428,692.60x = 190,572,484,792.67
  5. Step 5: Solve for x
    x = 190,572,484,792.67/428,692.60
  6. Step 6: Final answer
    x = 444,543.44

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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.