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Finding the Fourth Proportional to 386,716.96, 533,661.36 and 214,624.93

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Solution

The fourth proportional to 386,716.96, 533,661.36 and 214,624.93 is: 296,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,716.96 : 533,661.36 = 214,624.93 : x
  2. Step 2: Convert to fraction form
    386,716.96/533,661.36 = 214,624.93/x
  3. Step 3: Cross multiply
    386,716.96x = 533,661.36 × 214,624.93
  4. Step 4: Simplify right side
    386,716.96x = 114,537,032,033.71
  5. Step 5: Solve for x
    x = 114,537,032,033.71/386,716.96
  6. Step 6: Final answer
    x = 296,177.94

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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.