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Finding the Fourth Proportional to 517,427.15, 776,269.90 and 180,472.64

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Solution

The fourth proportional to 517,427.15, 776,269.90 and 180,472.64 is: 270,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,427.15 : 776,269.90 = 180,472.64 : x
  2. Step 2: Convert to fraction form
    517,427.15/776,269.90 = 180,472.64/x
  3. Step 3: Cross multiply
    517,427.15x = 776,269.90 × 180,472.64
  4. Step 4: Simplify right side
    517,427.15x = 140,095,480,812.15
  5. Step 5: Solve for x
    x = 140,095,480,812.15/517,427.15
  6. Step 6: Final answer
    x = 270,754.02

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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.