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Finding the Fourth Proportional to 417,232.46, 625,684.91 and 147,303

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Solution

The fourth proportional to 417,232.46, 625,684.91 and 147,303 is: 220,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,232.46 : 625,684.91 = 147,303 : x
  2. Step 2: Convert to fraction form
    417,232.46/625,684.91 = 147,303/x
  3. Step 3: Cross multiply
    417,232.46x = 625,684.91 × 147,303
  4. Step 4: Simplify right side
    417,232.46x = 92,165,263,561.22
  5. Step 5: Solve for x
    x = 92,165,263,561.22/417,232.46
  6. Step 6: Final answer
    x = 220,896.67

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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.