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Finding the Fourth Proportional to 523,654.86, 785,543.81 and 186,743.42

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Solution

The fourth proportional to 523,654.86, 785,543.81 and 186,743.42 is: 280,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,654.86 : 785,543.81 = 186,743.42 : x
  2. Step 2: Convert to fraction form
    523,654.86/785,543.81 = 186,743.42/x
  3. Step 3: Cross multiply
    523,654.86x = 785,543.81 × 186,743.42
  4. Step 4: Simplify right side
    523,654.86x = 146,695,132,777.79
  5. Step 5: Solve for x
    x = 146,695,132,777.79/523,654.86
  6. Step 6: Final answer
    x = 280,137.06

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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.