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Finding the Fourth Proportional to 412,705.03, 569,291.64 and 259,500.67

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Solution

The fourth proportional to 412,705.03, 569,291.64 and 259,500.67 is: 357,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,705.03 : 569,291.64 = 259,500.67 : x
  2. Step 2: Convert to fraction form
    412,705.03/569,291.64 = 259,500.67/x
  3. Step 3: Cross multiply
    412,705.03x = 569,291.64 × 259,500.67
  4. Step 4: Simplify right side
    412,705.03x = 147,731,562,005.40
  5. Step 5: Solve for x
    x = 147,731,562,005.40/412,705.03
  6. Step 6: Final answer
    x = 357,959.20

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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.