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Finding the Fourth Proportional to 551,514.60, 827,271.90 and 177,537.60

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Solution

The fourth proportional to 551,514.60, 827,271.90 and 177,537.60 is: 266,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,514.60 : 827,271.90 = 177,537.60 : x
  2. Step 2: Convert to fraction form
    551,514.60/827,271.90 = 177,537.60/x
  3. Step 3: Cross multiply
    551,514.60x = 827,271.90 × 177,537.60
  4. Step 4: Simplify right side
    551,514.60x = 146,871,867,673.44
  5. Step 5: Solve for x
    x = 146,871,867,673.44/551,514.60
  6. Step 6: Final answer
    x = 266,306.40

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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.