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Finding the Fourth Proportional to 546,775.70, 820,163.55 and 471,980.30

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Solution

The fourth proportional to 546,775.70, 820,163.55 and 471,980.30 is: 707,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,775.70 : 820,163.55 = 471,980.30 : x
  2. Step 2: Convert to fraction form
    546,775.70/820,163.55 = 471,980.30/x
  3. Step 3: Cross multiply
    546,775.70x = 820,163.55 × 471,980.30
  4. Step 4: Simplify right side
    546,775.70x = 387,101,038,378.07
  5. Step 5: Solve for x
    x = 387,101,038,378.07/546,775.70
  6. Step 6: Final answer
    x = 707,970.45

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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.