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Finding the Fourth Proportional to 531,969.40, 797,306.10 and 231,815.80

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Solution

The fourth proportional to 531,969.40, 797,306.10 and 231,815.80 is: 347,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,969.40 : 797,306.10 = 231,815.80 : x
  2. Step 2: Convert to fraction form
    531,969.40/797,306.10 = 231,815.80/x
  3. Step 3: Cross multiply
    531,969.40x = 797,306.10 × 231,815.80
  4. Step 4: Simplify right side
    531,969.40x = 184,828,151,416.38
  5. Step 5: Solve for x
    x = 184,828,151,416.38/531,969.40
  6. Step 6: Final answer
    x = 347,441.32

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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.