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Finding the Fourth Proportional to 605,024, 834,933.12 and 336,746.24

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Solution

The fourth proportional to 605,024, 834,933.12 and 336,746.24 is: 464,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,024 : 834,933.12 = 336,746.24 : x
  2. Step 2: Convert to fraction form
    605,024/834,933.12 = 336,746.24/x
  3. Step 3: Cross multiply
    605,024x = 834,933.12 × 336,746.24
  4. Step 4: Simplify right side
    605,024x = 281,160,588,811.47
  5. Step 5: Solve for x
    x = 281,160,588,811.47/605,024
  6. Step 6: Final answer
    x = 464,709.81

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