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Finding the Fourth Proportional to 390,471.40, 585,269.70 and 165,793.60

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Solution

The fourth proportional to 390,471.40, 585,269.70 and 165,793.60 is: 248,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,471.40 : 585,269.70 = 165,793.60 : x
  2. Step 2: Convert to fraction form
    390,471.40/585,269.70 = 165,793.60/x
  3. Step 3: Cross multiply
    390,471.40x = 585,269.70 × 165,793.60
  4. Step 4: Simplify right side
    390,471.40x = 97,033,970,533.92
  5. Step 5: Solve for x
    x = 97,033,970,533.92/390,471.40
  6. Step 6: Final answer
    x = 248,504.68

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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.