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Finding the Fourth Proportional to 516,461.40, 774,662.04 and 232,078.50

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Solution

The fourth proportional to 516,461.40, 774,662.04 and 232,078.50 is: 348,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,461.40 : 774,662.04 = 232,078.50 : x
  2. Step 2: Convert to fraction form
    516,461.40/774,662.04 = 232,078.50/x
  3. Step 3: Cross multiply
    516,461.40x = 774,662.04 × 232,078.50
  4. Step 4: Simplify right side
    516,461.40x = 179,782,404,250.14
  5. Step 5: Solve for x
    x = 179,782,404,250.14/516,461.40
  6. Step 6: Final answer
    x = 348,104.24

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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.