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Finding the Fourth Proportional to 878,419.20, 1,318,857.60 and 546,643.20

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Solution

The fourth proportional to 878,419.20, 1,318,857.60 and 546,643.20 is: 820,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,419.20 : 1,318,857.60 = 546,643.20 : x
  2. Step 2: Convert to fraction form
    878,419.20/1,318,857.60 = 546,643.20/x
  3. Step 3: Cross multiply
    878,419.20x = 1,318,857.60 × 546,643.20
  4. Step 4: Simplify right side
    878,419.20x = 720,944,538,808.32
  5. Step 5: Solve for x
    x = 720,944,538,808.32/878,419.20
  6. Step 6: Final answer
    x = 820,729.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.