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Finding the Fourth Proportional to 357,847.88, 493,831.09 and 204,888.41

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Solution

The fourth proportional to 357,847.88, 493,831.09 and 204,888.41 is: 282,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,847.88 : 493,831.09 = 204,888.41 : x
  2. Step 2: Convert to fraction form
    357,847.88/493,831.09 = 204,888.41/x
  3. Step 3: Cross multiply
    357,847.88x = 493,831.09 × 204,888.41
  4. Step 4: Simplify right side
    357,847.88x = 101,180,268,154.51
  5. Step 5: Solve for x
    x = 101,180,268,154.51/357,847.88
  6. Step 6: Final answer
    x = 282,746.59

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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.