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Finding the Fourth Proportional to 531,358.08, 733,281.87 and 289,640.71

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Solution

The fourth proportional to 531,358.08, 733,281.87 and 289,640.71 is: 399,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,358.08 : 733,281.87 = 289,640.71 : x
  2. Step 2: Convert to fraction form
    531,358.08/733,281.87 = 289,640.71/x
  3. Step 3: Cross multiply
    531,358.08x = 733,281.87 × 289,640.71
  4. Step 4: Simplify right side
    531,358.08x = 212,388,281,456.93
  5. Step 5: Solve for x
    x = 212,388,281,456.93/531,358.08
  6. Step 6: Final answer
    x = 399,708.39

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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.