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Finding the Fourth Proportional to 416,646.31, 574,970.10 and 232,884.64

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Solution

The fourth proportional to 416,646.31, 574,970.10 and 232,884.64 is: 321,379.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,646.31 : 574,970.10 = 232,884.64 : x
  2. Step 2: Convert to fraction form
    416,646.31/574,970.10 = 232,884.64/x
  3. Step 3: Cross multiply
    416,646.31x = 574,970.10 × 232,884.64
  4. Step 4: Simplify right side
    416,646.31x = 133,901,704,749.26
  5. Step 5: Solve for x
    x = 133,901,704,749.26/416,646.31
  6. Step 6: Final answer
    x = 321,379.79

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Why These Related Problems?

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