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Finding the Fourth Proportional to 471,857.59, 707,826.48 and 416,351.53

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Solution

The fourth proportional to 471,857.59, 707,826.48 and 416,351.53 is: 624,562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,857.59 : 707,826.48 = 416,351.53 : x
  2. Step 2: Convert to fraction form
    471,857.59/707,826.48 = 416,351.53/x
  3. Step 3: Cross multiply
    471,857.59x = 707,826.48 × 416,351.53
  4. Step 4: Simplify right side
    471,857.59x = 294,704,637,922.51
  5. Step 5: Solve for x
    x = 294,704,637,922.51/471,857.59
  6. Step 6: Final answer
    x = 624,562.67

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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.