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Finding the Fourth Proportional to 531,227.31, 797,075.61 and 278,447.29

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Solution

The fourth proportional to 531,227.31, 797,075.61 and 278,447.29 is: 417,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,227.31 : 797,075.61 = 278,447.29 : x
  2. Step 2: Convert to fraction form
    531,227.31/797,075.61 = 278,447.29/x
  3. Step 3: Cross multiply
    531,227.31x = 797,075.61 × 278,447.29
  4. Step 4: Simplify right side
    531,227.31x = 221,943,543,529.60
  5. Step 5: Solve for x
    x = 221,943,543,529.60/531,227.31
  6. Step 6: Final answer
    x = 417,793.93

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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.