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Finding the Fourth Proportional to 412,739.68, 569,339.44 and 259,535.40

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Solution

The fourth proportional to 412,739.68, 569,339.44 and 259,535.40 is: 358,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,739.68 : 569,339.44 = 259,535.40 : x
  2. Step 2: Convert to fraction form
    412,739.68/569,339.44 = 259,535.40/x
  3. Step 3: Cross multiply
    412,739.68x = 569,339.44 × 259,535.40
  4. Step 4: Simplify right side
    412,739.68x = 147,763,739,296.18
  5. Step 5: Solve for x
    x = 147,763,739,296.18/412,739.68
  6. Step 6: Final answer
    x = 358,007.11

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Why These Related Problems?

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