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Finding the Fourth Proportional to 517,624.02, 775,806.26 and 277,146.77

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Solution

The fourth proportional to 517,624.02, 775,806.26 and 277,146.77 is: 415,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,624.02 : 775,806.26 = 277,146.77 : x
  2. Step 2: Convert to fraction form
    517,624.02/775,806.26 = 277,146.77/x
  3. Step 3: Cross multiply
    517,624.02x = 775,806.26 × 277,146.77
  4. Step 4: Simplify right side
    517,624.02x = 215,012,193,840.02
  5. Step 5: Solve for x
    x = 215,012,193,840.02/517,624.02
  6. Step 6: Final answer
    x = 415,382.95

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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.