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Finding the Fourth Proportional to 600,984, 829,385.28 and 332,712

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Solution

The fourth proportional to 600,984, 829,385.28 and 332,712 is: 459,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,984 : 829,385.28 = 332,712 : x
  2. Step 2: Convert to fraction form
    600,984/829,385.28 = 332,712/x
  3. Step 3: Cross multiply
    600,984x = 829,385.28 × 332,712
  4. Step 4: Simplify right side
    600,984x = 275,946,435,279.36
  5. Step 5: Solve for x
    x = 275,946,435,279.36/600,984
  6. Step 6: Final answer
    x = 459,157.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.