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Finding the Fourth Proportional to 357,792.12, 536,606.15 and 213,738.54

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Solution

The fourth proportional to 357,792.12, 536,606.15 and 213,738.54 is: 320,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,792.12 : 536,606.15 = 213,738.54 : x
  2. Step 2: Convert to fraction form
    357,792.12/536,606.15 = 213,738.54/x
  3. Step 3: Cross multiply
    357,792.12x = 536,606.15 × 213,738.54
  4. Step 4: Simplify right side
    357,792.12x = 114,693,415,056.02
  5. Step 5: Solve for x
    x = 114,693,415,056.02/357,792.12
  6. Step 6: Final answer
    x = 320,558.81

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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.