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Finding the Fourth Proportional to 537,213.44, 741,318 and 310,892.96

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Solution

The fourth proportional to 537,213.44, 741,318 and 310,892.96 is: 429,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,213.44 : 741,318 = 310,892.96 : x
  2. Step 2: Convert to fraction form
    537,213.44/741,318 = 310,892.96/x
  3. Step 3: Cross multiply
    537,213.44x = 741,318 × 310,892.96
  4. Step 4: Simplify right side
    537,213.44x = 230,470,547,321.28
  5. Step 5: Solve for x
    x = 230,470,547,321.28/537,213.44
  6. Step 6: Final answer
    x = 429,011.13

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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.