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Finding the Fourth Proportional to 517,493.94, 776,196.44 and 315,037.50

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Solution

The fourth proportional to 517,493.94, 776,196.44 and 315,037.50 is: 472,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,493.94 : 776,196.44 = 315,037.50 : x
  2. Step 2: Convert to fraction form
    517,493.94/776,196.44 = 315,037.50/x
  3. Step 3: Cross multiply
    517,493.94x = 776,196.44 × 315,037.50
  4. Step 4: Simplify right side
    517,493.94x = 244,530,980,510.33
  5. Step 5: Solve for x
    x = 244,530,980,510.33/517,493.94
  6. Step 6: Final answer
    x = 472,529.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.