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Finding the Fourth Proportional to 531,264.66, 733,123.85 and 289,542.03

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Solution

The fourth proportional to 531,264.66, 733,123.85 and 289,542.03 is: 399,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,264.66 : 733,123.85 = 289,542.03 : x
  2. Step 2: Convert to fraction form
    531,264.66/733,123.85 = 289,542.03/x
  3. Step 3: Cross multiply
    531,264.66x = 733,123.85 × 289,542.03
  4. Step 4: Simplify right side
    531,264.66x = 212,270,166,322.71
  5. Step 5: Solve for x
    x = 212,270,166,322.71/531,264.66
  6. Step 6: Final answer
    x = 399,556.35

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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.