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Finding the Fourth Proportional to 603,914.57, 833,401.82 and 332,000

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Solution

The fourth proportional to 603,914.57, 833,401.82 and 332,000 is: 458,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,914.57 : 833,401.82 = 332,000 : x
  2. Step 2: Convert to fraction form
    603,914.57/833,401.82 = 332,000/x
  3. Step 3: Cross multiply
    603,914.57x = 833,401.82 × 332,000
  4. Step 4: Simplify right side
    603,914.57x = 276,689,402,580
  5. Step 5: Solve for x
    x = 276,689,402,580/603,914.57
  6. Step 6: Final answer
    x = 458,159.84

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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.