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Finding the Fourth Proportional to 827,258.69, 1,141,573.15 and 464,697.83

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Solution

The fourth proportional to 827,258.69, 1,141,573.15 and 464,697.83 is: 641,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,258.69 : 1,141,573.15 = 464,697.83 : x
  2. Step 2: Convert to fraction form
    827,258.69/1,141,573.15 = 464,697.83/x
  3. Step 3: Cross multiply
    827,258.69x = 1,141,573.15 × 464,697.83
  4. Step 4: Simplify right side
    827,258.69x = 530,486,565,591.26
  5. Step 5: Solve for x
    x = 530,486,565,591.26/827,258.69
  6. Step 6: Final answer
    x = 641,258.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.