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Finding the Fourth Proportional to 584,313, 806,352 and 316,041

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Solution

The fourth proportional to 584,313, 806,352 and 316,041 is: 436,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,313 : 806,352 = 316,041 : x
  2. Step 2: Convert to fraction form
    584,313/806,352 = 316,041/x
  3. Step 3: Cross multiply
    584,313x = 806,352 × 316,041
  4. Step 4: Simplify right side
    584,313x = 254,840,292,432
  5. Step 5: Solve for x
    x = 254,840,292,432/584,313
  6. Step 6: Final answer
    x = 436,136.61

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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.