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Finding the Fourth Proportional to 357,673.48, 493,632.31 and 214,512.28

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Solution

The fourth proportional to 357,673.48, 493,632.31 and 214,512.28 is: 296,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,673.48 : 493,632.31 = 214,512.28 : x
  2. Step 2: Convert to fraction form
    357,673.48/493,632.31 = 214,512.28/x
  3. Step 3: Cross multiply
    357,673.48x = 493,632.31 × 214,512.28
  4. Step 4: Simplify right side
    357,673.48x = 105,890,189,831.61
  5. Step 5: Solve for x
    x = 105,890,189,831.61/357,673.48
  6. Step 6: Final answer
    x = 296,052.68

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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.