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Finding the Fourth Proportional to 648,114.70, 971,394.45 and 332,409.10

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Solution

The fourth proportional to 648,114.70, 971,394.45 and 332,409.10 is: 498,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,114.70 : 971,394.45 = 332,409.10 : x
  2. Step 2: Convert to fraction form
    648,114.70/971,394.45 = 332,409.10/x
  3. Step 3: Cross multiply
    648,114.70x = 971,394.45 × 332,409.10
  4. Step 4: Simplify right side
    648,114.70x = 322,900,354,869.50
  5. Step 5: Solve for x
    x = 322,900,354,869.50/648,114.70
  6. Step 6: Final answer
    x = 498,214.83

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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.