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Finding the Fourth Proportional to 413,741.20, 620,611.80 and 293,018.80

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Solution

The fourth proportional to 413,741.20, 620,611.80 and 293,018.80 is: 439,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,741.20 : 620,611.80 = 293,018.80 : x
  2. Step 2: Convert to fraction form
    413,741.20/620,611.80 = 293,018.80/x
  3. Step 3: Cross multiply
    413,741.20x = 620,611.80 × 293,018.80
  4. Step 4: Simplify right side
    413,741.20x = 181,850,924,901.84
  5. Step 5: Solve for x
    x = 181,850,924,901.84/413,741.20
  6. Step 6: Final answer
    x = 439,528.20

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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.