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Finding the Fourth Proportional to 538,520.36, 743,158.14 and 312,297.08

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Solution

The fourth proportional to 538,520.36, 743,158.14 and 312,297.08 is: 430,970.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,520.36 : 743,158.14 = 312,297.08 : x
  2. Step 2: Convert to fraction form
    538,520.36/743,158.14 = 312,297.08/x
  3. Step 3: Cross multiply
    538,520.36x = 743,158.14 × 312,297.08
  4. Step 4: Simplify right side
    538,520.36x = 232,086,117,100.23
  5. Step 5: Solve for x
    x = 232,086,117,100.23/538,520.36
  6. Step 6: Final answer
    x = 430,970.00

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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.