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Finding the Fourth Proportional to 357,382.11, 493,150.50 and 214,138.47

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Solution

The fourth proportional to 357,382.11, 493,150.50 and 214,138.47 is: 295,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,382.11 : 493,150.50 = 214,138.47 : x
  2. Step 2: Convert to fraction form
    357,382.11/493,150.50 = 214,138.47/x
  3. Step 3: Cross multiply
    357,382.11x = 493,150.50 × 214,138.47
  4. Step 4: Simplify right side
    357,382.11x = 105,602,493,549.74
  5. Step 5: Solve for x
    x = 105,602,493,549.74/357,382.11
  6. Step 6: Final answer
    x = 295,489.03

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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.