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Finding the Fourth Proportional to 531,656.38, 733,699.65 and 289,949.14

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Solution

The fourth proportional to 531,656.38, 733,699.65 and 289,949.14 is: 400,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,656.38 : 733,699.65 = 289,949.14 : x
  2. Step 2: Convert to fraction form
    531,656.38/733,699.65 = 289,949.14/x
  3. Step 3: Cross multiply
    531,656.38x = 733,699.65 × 289,949.14
  4. Step 4: Simplify right side
    531,656.38x = 212,735,582,535.80
  5. Step 5: Solve for x
    x = 212,735,582,535.80/531,656.38
  6. Step 6: Final answer
    x = 400,137.36

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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.