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Finding the Fourth Proportional to 412,820.14, 569,449.85 and 259,615.32

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Solution

The fourth proportional to 412,820.14, 569,449.85 and 259,615.32 is: 358,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,820.14 : 569,449.85 = 259,615.32 : x
  2. Step 2: Convert to fraction form
    412,820.14/569,449.85 = 259,615.32/x
  3. Step 3: Cross multiply
    412,820.14x = 569,449.85 × 259,615.32
  4. Step 4: Simplify right side
    412,820.14x = 147,837,905,031.70
  5. Step 5: Solve for x
    x = 147,837,905,031.70/412,820.14
  6. Step 6: Final answer
    x = 358,116.99

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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.