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Finding the Fourth Proportional to 428,625.80, 641,677.45 and 286,117.60

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Solution

The fourth proportional to 428,625.80, 641,677.45 and 286,117.60 is: 428,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,625.80 : 641,677.45 = 286,117.60 : x
  2. Step 2: Convert to fraction form
    428,625.80/641,677.45 = 286,117.60/x
  3. Step 3: Cross multiply
    428,625.80x = 641,677.45 × 286,117.60
  4. Step 4: Simplify right side
    428,625.80x = 183,595,211,968.12
  5. Step 5: Solve for x
    x = 183,595,211,968.12/428,625.80
  6. Step 6: Final answer
    x = 428,334.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.