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Finding the Fourth Proportional to 647,834.40, 971,314.20 and 332,031.60

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Solution

The fourth proportional to 647,834.40, 971,314.20 and 332,031.60 is: 497,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,834.40 : 971,314.20 = 332,031.60 : x
  2. Step 2: Convert to fraction form
    647,834.40/971,314.20 = 332,031.60/x
  3. Step 3: Cross multiply
    647,834.40x = 971,314.20 × 332,031.60
  4. Step 4: Simplify right side
    647,834.40x = 322,507,007,928.72
  5. Step 5: Solve for x
    x = 322,507,007,928.72/647,834.40
  6. Step 6: Final answer
    x = 497,823.22

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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.