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Finding the Fourth Proportional to 516,095.64, 774,112.68 and 161,059.68

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Solution

The fourth proportional to 516,095.64, 774,112.68 and 161,059.68 is: 241,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,095.64 : 774,112.68 = 161,059.68 : x
  2. Step 2: Convert to fraction form
    516,095.64/774,112.68 = 161,059.68/x
  3. Step 3: Cross multiply
    516,095.64x = 774,112.68 × 161,059.68
  4. Step 4: Simplify right side
    516,095.64x = 124,678,340,524.74
  5. Step 5: Solve for x
    x = 124,678,340,524.74/516,095.64
  6. Step 6: Final answer
    x = 241,579.91

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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.