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Finding the Fourth Proportional to 360,468.33, 540,820.96 and 147,415.46

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Solution

The fourth proportional to 360,468.33, 540,820.96 and 147,415.46 is: 221,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,468.33 : 540,820.96 = 147,415.46 : x
  2. Step 2: Convert to fraction form
    360,468.33/540,820.96 = 147,415.46/x
  3. Step 3: Cross multiply
    360,468.33x = 540,820.96 × 147,415.46
  4. Step 4: Simplify right side
    360,468.33x = 79,725,370,596.04
  5. Step 5: Solve for x
    x = 79,725,370,596.04/360,468.33
  6. Step 6: Final answer
    x = 221,171.64

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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.