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Finding the Fourth Proportional to 517,586.15, 775,749.76 and 277,109.10

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Solution

The fourth proportional to 517,586.15, 775,749.76 and 277,109.10 is: 415,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,586.15 : 775,749.76 = 277,109.10 : x
  2. Step 2: Convert to fraction form
    517,586.15/775,749.76 = 277,109.10/x
  3. Step 3: Cross multiply
    517,586.15x = 775,749.76 × 277,109.10
  4. Step 4: Simplify right side
    517,586.15x = 214,967,318,684.78
  5. Step 5: Solve for x
    x = 214,967,318,684.78/517,586.15
  6. Step 6: Final answer
    x = 415,326.64

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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.