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Finding the Fourth Proportional to 702,815.68, 969,823.16 and 416,289.52

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Solution

The fourth proportional to 702,815.68, 969,823.16 and 416,289.52 is: 574,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,815.68 : 969,823.16 = 416,289.52 : x
  2. Step 2: Convert to fraction form
    702,815.68/969,823.16 = 416,289.52/x
  3. Step 3: Cross multiply
    702,815.68x = 969,823.16 × 416,289.52
  4. Step 4: Simplify right side
    702,815.68x = 403,727,217,761.28
  5. Step 5: Solve for x
    x = 403,727,217,761.28/702,815.68
  6. Step 6: Final answer
    x = 574,442.53

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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.