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Finding the Fourth Proportional to 412,744.32, 569,345.83 and 259,539.98

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Solution

The fourth proportional to 412,744.32, 569,345.83 and 259,539.98 is: 358,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,744.32 : 569,345.83 = 259,539.98 : x
  2. Step 2: Convert to fraction form
    412,744.32/569,345.83 = 259,539.98/x
  3. Step 3: Cross multiply
    412,744.32x = 569,345.83 × 259,539.98
  4. Step 4: Simplify right side
    412,744.32x = 147,768,001,835.70
  5. Step 5: Solve for x
    x = 147,768,001,835.70/412,744.32
  6. Step 6: Final answer
    x = 358,013.41

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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.