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Finding the Fourth Proportional to 510,938.58, 705,150.72 and 281,519.46

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Solution

The fourth proportional to 510,938.58, 705,150.72 and 281,519.46 is: 388,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,938.58 : 705,150.72 = 281,519.46 : x
  2. Step 2: Convert to fraction form
    510,938.58/705,150.72 = 281,519.46/x
  3. Step 3: Cross multiply
    510,938.58x = 705,150.72 × 281,519.46
  4. Step 4: Simplify right side
    510,938.58x = 198,513,649,913.01
  5. Step 5: Solve for x
    x = 198,513,649,913.01/510,938.58
  6. Step 6: Final answer
    x = 388,527.42

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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.