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Finding the Fourth Proportional to 413,657.28, 620,332.68 and 147,347.04

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Solution

The fourth proportional to 413,657.28, 620,332.68 and 147,347.04 is: 220,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,657.28 : 620,332.68 = 147,347.04 : x
  2. Step 2: Convert to fraction form
    413,657.28/620,332.68 = 147,347.04/x
  3. Step 3: Cross multiply
    413,657.28x = 620,332.68 × 147,347.04
  4. Step 4: Simplify right side
    413,657.28x = 91,404,184,213.27
  5. Step 5: Solve for x
    x = 91,404,184,213.27/413,657.28
  6. Step 6: Final answer
    x = 220,965.98

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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.