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Finding the Fourth Proportional to 878,592.40, 1,212,460.12 and 491,414.34

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Solution

The fourth proportional to 878,592.40, 1,212,460.12 and 491,414.34 is: 678,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,592.40 : 1,212,460.12 = 491,414.34 : x
  2. Step 2: Convert to fraction form
    878,592.40/1,212,460.12 = 491,414.34/x
  3. Step 3: Cross multiply
    878,592.40x = 1,212,460.12 × 491,414.34
  4. Step 4: Simplify right side
    878,592.40x = 595,820,287,987.03
  5. Step 5: Solve for x
    x = 595,820,287,987.03/878,592.40
  6. Step 6: Final answer
    x = 678,153.24

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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.