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Finding the Fourth Proportional to 531,107.96, 796,897.40 and 278,328.33

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Solution

The fourth proportional to 531,107.96, 796,897.40 and 278,328.33 is: 417,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,107.96 : 796,897.40 = 278,328.33 : x
  2. Step 2: Convert to fraction form
    531,107.96/796,897.40 = 278,328.33/x
  3. Step 3: Cross multiply
    531,107.96x = 796,897.40 × 278,328.33
  4. Step 4: Simplify right side
    531,107.96x = 221,799,121,131.70
  5. Step 5: Solve for x
    x = 221,799,121,131.70/531,107.96
  6. Step 6: Final answer
    x = 417,615.89

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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.