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Finding the Fourth Proportional to 508,446.97, 701,985.49 and 315,059.90

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Solution

The fourth proportional to 508,446.97, 701,985.49 and 315,059.90 is: 434,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,446.97 : 701,985.49 = 315,059.90 : x
  2. Step 2: Convert to fraction form
    508,446.97/701,985.49 = 315,059.90/x
  3. Step 3: Cross multiply
    508,446.97x = 701,985.49 × 315,059.90
  4. Step 4: Simplify right side
    508,446.97x = 221,167,473,983.27
  5. Step 5: Solve for x
    x = 221,167,473,983.27/508,446.97
  6. Step 6: Final answer
    x = 434,986.32

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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.