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Finding the Fourth Proportional to 400,287.80, 598,973.70 and 295,311.80

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Solution

The fourth proportional to 400,287.80, 598,973.70 and 295,311.80 is: 441,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,287.80 : 598,973.70 = 295,311.80 : x
  2. Step 2: Convert to fraction form
    400,287.80/598,973.70 = 295,311.80/x
  3. Step 3: Cross multiply
    400,287.80x = 598,973.70 × 295,311.80
  4. Step 4: Simplify right side
    400,287.80x = 176,884,001,499.66
  5. Step 5: Solve for x
    x = 176,884,001,499.66/400,287.80
  6. Step 6: Final answer
    x = 441,892.06

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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.