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Finding the Fourth Proportional to 357,674.48, 493,633.69 and 214,513.28

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Solution

The fourth proportional to 357,674.48, 493,633.69 and 214,513.28 is: 296,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,674.48 : 493,633.69 = 214,513.28 : x
  2. Step 2: Convert to fraction form
    357,674.48/493,633.69 = 214,513.28/x
  3. Step 3: Cross multiply
    357,674.48x = 493,633.69 × 214,513.28
  4. Step 4: Simplify right side
    357,674.48x = 105,890,981,960.40
  5. Step 5: Solve for x
    x = 105,890,981,960.40/357,674.48
  6. Step 6: Final answer
    x = 296,054.06

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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.