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Finding the Fourth Proportional to 531,394.64, 733,298.10 and 301,921.62

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Solution

The fourth proportional to 531,394.64, 733,298.10 and 301,921.62 is: 416,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,394.64 : 733,298.10 = 301,921.62 : x
  2. Step 2: Convert to fraction form
    531,394.64/733,298.10 = 301,921.62/x
  3. Step 3: Cross multiply
    531,394.64x = 733,298.10 × 301,921.62
  4. Step 4: Simplify right side
    531,394.64x = 221,398,546,628.43
  5. Step 5: Solve for x
    x = 221,398,546,628.43/531,394.64
  6. Step 6: Final answer
    x = 416,636.77

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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.