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Finding the Fourth Proportional to 428,420.84, 638,801.06 and 416,650.25

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Solution

The fourth proportional to 428,420.84, 638,801.06 and 416,650.25 is: 621,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,420.84 : 638,801.06 = 416,650.25 : x
  2. Step 2: Convert to fraction form
    428,420.84/638,801.06 = 416,650.25/x
  3. Step 3: Cross multiply
    428,420.84x = 638,801.06 × 416,650.25
  4. Step 4: Simplify right side
    428,420.84x = 266,156,623,987.89
  5. Step 5: Solve for x
    x = 266,156,623,987.89/428,420.84
  6. Step 6: Final answer
    x = 621,250.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.