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Finding the Fourth Proportional to 546,930.59, 820,395.89 and 147,571.37

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Solution

The fourth proportional to 546,930.59, 820,395.89 and 147,571.37 is: 221,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,930.59 : 820,395.89 = 147,571.37 : x
  2. Step 2: Convert to fraction form
    546,930.59/820,395.89 = 147,571.37/x
  3. Step 3: Cross multiply
    546,930.59x = 820,395.89 × 147,571.37
  4. Step 4: Simplify right side
    546,930.59x = 121,066,941,696.62
  5. Step 5: Solve for x
    x = 121,066,941,696.62/546,930.59
  6. Step 6: Final answer
    x = 221,357.05

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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.