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Finding the Fourth Proportional to 472,179.54, 708,009.61 and 322,588.74

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Solution

The fourth proportional to 472,179.54, 708,009.61 and 322,588.74 is: 483,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,179.54 : 708,009.61 = 322,588.74 : x
  2. Step 2: Convert to fraction form
    472,179.54/708,009.61 = 322,588.74/x
  3. Step 3: Cross multiply
    472,179.54x = 708,009.61 × 322,588.74
  4. Step 4: Simplify right side
    472,179.54x = 228,395,928,961.34
  5. Step 5: Solve for x
    x = 228,395,928,961.34/472,179.54
  6. Step 6: Final answer
    x = 483,705.68

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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.