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Finding the Fourth Proportional to 492,458.40, 738,527.67 and 188,836.59

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Solution

The fourth proportional to 492,458.40, 738,527.67 and 188,836.59 is: 283,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,458.40 : 738,527.67 = 188,836.59 : x
  2. Step 2: Convert to fraction form
    492,458.40/738,527.67 = 188,836.59/x
  3. Step 3: Cross multiply
    492,458.40x = 738,527.67 × 188,836.59
  4. Step 4: Simplify right side
    492,458.40x = 139,461,046,823.45
  5. Step 5: Solve for x
    x = 139,461,046,823.45/492,458.40
  6. Step 6: Final answer
    x = 283,193.56

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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.