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Finding the Fourth Proportional to 517,428, 776,145.51 and 197,493.59

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Solution

The fourth proportional to 517,428, 776,145.51 and 197,493.59 is: 296,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,428 : 776,145.51 = 197,493.59 : x
  2. Step 2: Convert to fraction form
    517,428/776,145.51 = 197,493.59/x
  3. Step 3: Cross multiply
    517,428x = 776,145.51 × 197,493.59
  4. Step 4: Simplify right side
    517,428x = 153,283,765,072.65
  5. Step 5: Solve for x
    x = 153,283,765,072.65/517,428
  6. Step 6: Final answer
    x = 296,241.73

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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.