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Finding the Fourth Proportional to 784,116, 1,082,080.08 and 426,420

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Solution

The fourth proportional to 784,116, 1,082,080.08 and 426,420 is: 588,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,116 : 1,082,080.08 = 426,420 : x
  2. Step 2: Convert to fraction form
    784,116/1,082,080.08 = 426,420/x
  3. Step 3: Cross multiply
    784,116x = 1,082,080.08 × 426,420
  4. Step 4: Simplify right side
    784,116x = 461,420,587,713.60
  5. Step 5: Solve for x
    x = 461,420,587,713.60/784,116
  6. Step 6: Final answer
    x = 588,459.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.