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Finding the Fourth Proportional to 360,469.33, 540,822.46 and 147,416.46

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Solution

The fourth proportional to 360,469.33, 540,822.46 and 147,416.46 is: 221,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,469.33 : 540,822.46 = 147,416.46 : x
  2. Step 2: Convert to fraction form
    360,469.33/540,822.46 = 147,416.46/x
  3. Step 3: Cross multiply
    360,469.33x = 540,822.46 × 147,416.46
  4. Step 4: Simplify right side
    360,469.33x = 79,726,132,541.69
  5. Step 5: Solve for x
    x = 79,726,132,541.69/360,469.33
  6. Step 6: Final answer
    x = 221,173.14

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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.