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Finding the Fourth Proportional to 332,419.20, 498,628.80 and 296,476.80

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Solution

The fourth proportional to 332,419.20, 498,628.80 and 296,476.80 is: 444,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,419.20 : 498,628.80 = 296,476.80 : x
  2. Step 2: Convert to fraction form
    332,419.20/498,628.80 = 296,476.80/x
  3. Step 3: Cross multiply
    332,419.20x = 498,628.80 × 296,476.80
  4. Step 4: Simplify right side
    332,419.20x = 147,831,871,011.84
  5. Step 5: Solve for x
    x = 147,831,871,011.84/332,419.20
  6. Step 6: Final answer
    x = 444,715.20

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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.