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Finding the Fourth Proportional to 517,694.96, 776,626.59 and 152,993.58

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Solution

The fourth proportional to 517,694.96, 776,626.59 and 152,993.58 is: 229,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,694.96 : 776,626.59 = 152,993.58 : x
  2. Step 2: Convert to fraction form
    517,694.96/776,626.59 = 152,993.58/x
  3. Step 3: Cross multiply
    517,694.96x = 776,626.59 × 152,993.58
  4. Step 4: Simplify right side
    517,694.96x = 118,818,879,234.46
  5. Step 5: Solve for x
    x = 118,818,879,234.46/517,694.96
  6. Step 6: Final answer
    x = 229,515.23

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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.