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Finding the Fourth Proportional to 702,365.96, 969,263.88 and 396,506.72

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Solution

The fourth proportional to 702,365.96, 969,263.88 and 396,506.72 is: 547,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,365.96 : 969,263.88 = 396,506.72 : x
  2. Step 2: Convert to fraction form
    702,365.96/969,263.88 = 396,506.72/x
  3. Step 3: Cross multiply
    702,365.96x = 969,263.88 × 396,506.72
  4. Step 4: Simplify right side
    702,365.96x = 384,319,641,873.27
  5. Step 5: Solve for x
    x = 384,319,641,873.27/702,365.96
  6. Step 6: Final answer
    x = 547,178.63

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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.