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Finding the Fourth Proportional to 510,968.86, 705,127.89 and 284,609.50

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Solution

The fourth proportional to 510,968.86, 705,127.89 and 284,609.50 is: 392,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,968.86 : 705,127.89 = 284,609.50 : x
  2. Step 2: Convert to fraction form
    510,968.86/705,127.89 = 284,609.50/x
  3. Step 3: Cross multiply
    510,968.86x = 705,127.89 × 284,609.50
  4. Step 4: Simplify right side
    510,968.86x = 200,686,096,208.96
  5. Step 5: Solve for x
    x = 200,686,096,208.96/510,968.86
  6. Step 6: Final answer
    x = 392,756.02

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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.