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Finding the Fourth Proportional to 702,936.20, 970,056.56 and 380,646.30

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Solution

The fourth proportional to 702,936.20, 970,056.56 and 380,646.30 is: 525,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,936.20 : 970,056.56 = 380,646.30 : x
  2. Step 2: Convert to fraction form
    702,936.20/970,056.56 = 380,646.30/x
  3. Step 3: Cross multiply
    702,936.20x = 970,056.56 × 380,646.30
  4. Step 4: Simplify right side
    702,936.20x = 369,248,440,354.73
  5. Step 5: Solve for x
    x = 369,248,440,354.73/702,936.20
  6. Step 6: Final answer
    x = 525,294.39

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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.