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Finding the Fourth Proportional to 838,232.46, 1,156,728.69 and 475,634.70

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Solution

The fourth proportional to 838,232.46, 1,156,728.69 and 475,634.70 is: 656,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,232.46 : 1,156,728.69 = 475,634.70 : x
  2. Step 2: Convert to fraction form
    838,232.46/1,156,728.69 = 475,634.70/x
  3. Step 3: Cross multiply
    838,232.46x = 1,156,728.69 × 475,634.70
  4. Step 4: Simplify right side
    838,232.46x = 550,180,303,449.54
  5. Step 5: Solve for x
    x = 550,180,303,449.54/838,232.46
  6. Step 6: Final answer
    x = 656,357.67

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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.