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Finding the Fourth Proportional to 568,497.86, 852,461.53 and 189,285.02

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Solution

The fourth proportional to 568,497.86, 852,461.53 and 189,285.02 is: 283,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,497.86 : 852,461.53 = 189,285.02 : x
  2. Step 2: Convert to fraction form
    568,497.86/852,461.53 = 189,285.02/x
  3. Step 3: Cross multiply
    568,497.86x = 852,461.53 × 189,285.02
  4. Step 4: Simplify right side
    568,497.86x = 161,358,197,755.28
  5. Step 5: Solve for x
    x = 161,358,197,755.28/568,497.86
  6. Step 6: Final answer
    x = 283,832.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.