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Finding the Fourth Proportional to 409,860.77, 614,790.59 and 110,341.67

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Solution

The fourth proportional to 409,860.77, 614,790.59 and 110,341.67 is: 165,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,860.77 : 614,790.59 = 110,341.67 : x
  2. Step 2: Convert to fraction form
    409,860.77/614,790.59 = 110,341.67/x
  3. Step 3: Cross multiply
    409,860.77x = 614,790.59 × 110,341.67
  4. Step 4: Simplify right side
    409,860.77x = 67,837,016,775.22
  5. Step 5: Solve for x
    x = 67,837,016,775.22/409,860.77
  6. Step 6: Final answer
    x = 165,512.35

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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.