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Finding the Fourth Proportional to 514,120.32, 771,338.14 and 230,050.01

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Solution

The fourth proportional to 514,120.32, 771,338.14 and 230,050.01 is: 345,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,120.32 : 771,338.14 = 230,050.01 : x
  2. Step 2: Convert to fraction form
    514,120.32/771,338.14 = 230,050.01/x
  3. Step 3: Cross multiply
    514,120.32x = 771,338.14 × 230,050.01
  4. Step 4: Simplify right side
    514,120.32x = 177,446,348,173.60
  5. Step 5: Solve for x
    x = 177,446,348,173.60/514,120.32
  6. Step 6: Final answer
    x = 345,145.56

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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.