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Finding the Fourth Proportional to 510,752.42, 704,831.71 and 281,305.34

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Solution

The fourth proportional to 510,752.42, 704,831.71 and 281,305.34 is: 388,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,752.42 : 704,831.71 = 281,305.34 : x
  2. Step 2: Convert to fraction form
    510,752.42/704,831.71 = 281,305.34/x
  3. Step 3: Cross multiply
    510,752.42x = 704,831.71 × 281,305.34
  4. Step 4: Simplify right side
    510,752.42x = 198,272,923,824.33
  5. Step 5: Solve for x
    x = 198,272,923,824.33/510,752.42
  6. Step 6: Final answer
    x = 388,197.72

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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.