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Finding the Fourth Proportional to 603,829, 833,071.60 and 362,189.80

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Solution

The fourth proportional to 603,829, 833,071.60 and 362,189.80 is: 499,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,829 : 833,071.60 = 362,189.80 : x
  2. Step 2: Convert to fraction form
    603,829/833,071.60 = 362,189.80/x
  3. Step 3: Cross multiply
    603,829x = 833,071.60 × 362,189.80
  4. Step 4: Simplify right side
    603,829x = 301,730,036,189.68
  5. Step 5: Solve for x
    x = 301,730,036,189.68/603,829
  6. Step 6: Final answer
    x = 499,694.51

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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.