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Finding the Fourth Proportional to 317,051.74, 475,439.37 and 119,921.50

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Solution

The fourth proportional to 317,051.74, 475,439.37 and 119,921.50 is: 179,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,051.74 : 475,439.37 = 119,921.50 : x
  2. Step 2: Convert to fraction form
    317,051.74/475,439.37 = 119,921.50/x
  3. Step 3: Cross multiply
    317,051.74x = 475,439.37 × 119,921.50
  4. Step 4: Simplify right side
    317,051.74x = 57,015,402,409.46
  5. Step 5: Solve for x
    x = 57,015,402,409.46/317,051.74
  6. Step 6: Final answer
    x = 179,829.96

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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.