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Finding the Fourth Proportional to 546,775.40, 820,163.10 and 398,059.40

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Solution

The fourth proportional to 546,775.40, 820,163.10 and 398,059.40 is: 597,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,775.40 : 820,163.10 = 398,059.40 : x
  2. Step 2: Convert to fraction form
    546,775.40/820,163.10 = 398,059.40/x
  3. Step 3: Cross multiply
    546,775.40x = 820,163.10 × 398,059.40
  4. Step 4: Simplify right side
    546,775.40x = 326,473,631,488.14
  5. Step 5: Solve for x
    x = 326,473,631,488.14/546,775.40
  6. Step 6: Final answer
    x = 597,089.10

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