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Finding the Fourth Proportional to 533,141.49, 799,712.13 and 213,437.26

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Solution

The fourth proportional to 533,141.49, 799,712.13 and 213,437.26 is: 320,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,141.49 : 799,712.13 = 213,437.26 : x
  2. Step 2: Convert to fraction form
    533,141.49/799,712.13 = 213,437.26/x
  3. Step 3: Cross multiply
    533,141.49x = 799,712.13 × 213,437.26
  4. Step 4: Simplify right side
    533,141.49x = 170,688,361,817.40
  5. Step 5: Solve for x
    x = 170,688,361,817.40/533,141.49
  6. Step 6: Final answer
    x = 320,155.84

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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.