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Finding the Fourth Proportional to 517,429, 776,147.01 and 197,494.59

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Solution

The fourth proportional to 517,429, 776,147.01 and 197,494.59 is: 296,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,429 : 776,147.01 = 197,494.59 : x
  2. Step 2: Convert to fraction form
    517,429/776,147.01 = 197,494.59/x
  3. Step 3: Cross multiply
    517,429x = 776,147.01 × 197,494.59
  4. Step 4: Simplify right side
    517,429x = 153,284,835,519.68
  5. Step 5: Solve for x
    x = 153,284,835,519.68/517,429
  6. Step 6: Final answer
    x = 296,243.22

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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.