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Finding the Fourth Proportional to 531,857.69, 733,963.61 and 290,141.24

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Solution

The fourth proportional to 531,857.69, 733,963.61 and 290,141.24 is: 400,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,857.69 : 733,963.61 = 290,141.24 : x
  2. Step 2: Convert to fraction form
    531,857.69/733,963.61 = 290,141.24/x
  3. Step 3: Cross multiply
    531,857.69x = 733,963.61 × 290,141.24
  4. Step 4: Simplify right side
    531,857.69x = 212,953,108,250.46
  5. Step 5: Solve for x
    x = 212,953,108,250.46/531,857.69
  6. Step 6: Final answer
    x = 400,394.90

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1.5x scale

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.