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Finding the Fourth Proportional to 357,176.16, 492,867.21 and 213,932.52

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Solution

The fourth proportional to 357,176.16, 492,867.21 and 213,932.52 is: 295,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,176.16 : 492,867.21 = 213,932.52 : x
  2. Step 2: Convert to fraction form
    357,176.16/492,867.21 = 213,932.52/x
  3. Step 3: Cross multiply
    357,176.16x = 492,867.21 × 213,932.52
  4. Step 4: Simplify right side
    357,176.16x = 105,440,324,260.67
  5. Step 5: Solve for x
    x = 105,440,324,260.67/357,176.16
  6. Step 6: Final answer
    x = 295,205.38

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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.