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Finding the Fourth Proportional to 411,189.40, 567,453.18 and 229,901.77

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Solution

The fourth proportional to 411,189.40, 567,453.18 and 229,901.77 is: 317,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,189.40 : 567,453.18 = 229,901.77 : x
  2. Step 2: Convert to fraction form
    411,189.40/567,453.18 = 229,901.77/x
  3. Step 3: Cross multiply
    411,189.40x = 567,453.18 × 229,901.77
  4. Step 4: Simplify right side
    411,189.40x = 130,458,490,474.13
  5. Step 5: Solve for x
    x = 130,458,490,474.13/411,189.40
  6. Step 6: Final answer
    x = 317,271.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.