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Finding the Fourth Proportional to 474,305.92, 711,406.32 and 119,319.84

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Solution

The fourth proportional to 474,305.92, 711,406.32 and 119,319.84 is: 178,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,305.92 : 711,406.32 = 119,319.84 : x
  2. Step 2: Convert to fraction form
    474,305.92/711,406.32 = 119,319.84/x
  3. Step 3: Cross multiply
    474,305.92x = 711,406.32 × 119,319.84
  4. Step 4: Simplify right side
    474,305.92x = 84,884,888,277.39
  5. Step 5: Solve for x
    x = 84,884,888,277.39/474,305.92
  6. Step 6: Final answer
    x = 178,966.54

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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.