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Finding the Fourth Proportional to 340,879.40, 511,319.10 and 257,935.40

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Solution

The fourth proportional to 340,879.40, 511,319.10 and 257,935.40 is: 386,903.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,879.40 : 511,319.10 = 257,935.40 : x
  2. Step 2: Convert to fraction form
    340,879.40/511,319.10 = 257,935.40/x
  3. Step 3: Cross multiply
    340,879.40x = 511,319.10 × 257,935.40
  4. Step 4: Simplify right side
    340,879.40x = 131,887,296,586.14
  5. Step 5: Solve for x
    x = 131,887,296,586.14/340,879.40
  6. Step 6: Final answer
    x = 386,903.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.