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Finding the Fourth Proportional to 492,858.48, 735,722.34 and 433,071.60

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Solution

The fourth proportional to 492,858.48, 735,722.34 and 433,071.60 is: 646,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,858.48 : 735,722.34 = 433,071.60 : x
  2. Step 2: Convert to fraction form
    492,858.48/735,722.34 = 433,071.60/x
  3. Step 3: Cross multiply
    492,858.48x = 735,722.34 × 433,071.60
  4. Step 4: Simplify right side
    492,858.48x = 318,620,450,939.54
  5. Step 5: Solve for x
    x = 318,620,450,939.54/492,858.48
  6. Step 6: Final answer
    x = 646,474.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.