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Finding the Fourth Proportional to 702,968.22, 970,096.66 and 380,678.66

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Solution

The fourth proportional to 702,968.22, 970,096.66 and 380,678.66 is: 525,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,968.22 : 970,096.66 = 380,678.66 : x
  2. Step 2: Convert to fraction form
    702,968.22/970,096.66 = 380,678.66/x
  3. Step 3: Cross multiply
    702,968.22x = 970,096.66 × 380,678.66
  4. Step 4: Simplify right side
    702,968.22x = 369,295,096,599.28
  5. Step 5: Solve for x
    x = 369,295,096,599.28/702,968.22
  6. Step 6: Final answer
    x = 525,336.83

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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.