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Finding the Fourth Proportional to 315,821.43, 435,831.03 and 172,578.87

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Solution

The fourth proportional to 315,821.43, 435,831.03 and 172,578.87 is: 238,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,821.43 : 435,831.03 = 172,578.87 : x
  2. Step 2: Convert to fraction form
    315,821.43/435,831.03 = 172,578.87/x
  3. Step 3: Cross multiply
    315,821.43x = 435,831.03 × 172,578.87
  4. Step 4: Simplify right side
    315,821.43x = 75,215,226,668.34
  5. Step 5: Solve for x
    x = 75,215,226,668.34/315,821.43
  6. Step 6: Final answer
    x = 238,157.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.