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Finding the Fourth Proportional to 531,194.34, 733,029.57 and 289,471.98

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Solution

The fourth proportional to 531,194.34, 733,029.57 and 289,471.98 is: 399,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,194.34 : 733,029.57 = 289,471.98 : x
  2. Step 2: Convert to fraction form
    531,194.34/733,029.57 = 289,471.98/x
  3. Step 3: Cross multiply
    531,194.34x = 733,029.57 × 289,471.98
  4. Step 4: Simplify right side
    531,194.34x = 212,191,521,026.45
  5. Step 5: Solve for x
    x = 212,191,521,026.45/531,194.34
  6. Step 6: Final answer
    x = 399,461.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.