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Finding the Fourth Proportional to 516,495.18, 774,713.61 and 161,467.32

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Solution

The fourth proportional to 516,495.18, 774,713.61 and 161,467.32 is: 242,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,495.18 : 774,713.61 = 161,467.32 : x
  2. Step 2: Convert to fraction form
    516,495.18/774,713.61 = 161,467.32/x
  3. Step 3: Cross multiply
    516,495.18x = 774,713.61 × 161,467.32
  4. Step 4: Simplify right side
    516,495.18x = 125,090,930,374.23
  5. Step 5: Solve for x
    x = 125,090,930,374.23/516,495.18
  6. Step 6: Final answer
    x = 242,191.86

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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.