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Finding the Fourth Proportional to 442,971.60, 664,457.40 and 293,380.80

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Solution

The fourth proportional to 442,971.60, 664,457.40 and 293,380.80 is: 440,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,971.60 : 664,457.40 = 293,380.80 : x
  2. Step 2: Convert to fraction form
    442,971.60/664,457.40 = 293,380.80/x
  3. Step 3: Cross multiply
    442,971.60x = 664,457.40 × 293,380.80
  4. Step 4: Simplify right side
    442,971.60x = 194,939,043,577.92
  5. Step 5: Solve for x
    x = 194,939,043,577.92/442,971.60
  6. Step 6: Final answer
    x = 440,071.20

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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.