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Finding the Fourth Proportional to 523,563.30, 722,498.25 and 319,955.04

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Solution

The fourth proportional to 523,563.30, 722,498.25 and 319,955.04 is: 441,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,563.30 : 722,498.25 = 319,955.04 : x
  2. Step 2: Convert to fraction form
    523,563.30/722,498.25 = 319,955.04/x
  3. Step 3: Cross multiply
    523,563.30x = 722,498.25 × 319,955.04
  4. Step 4: Simplify right side
    523,563.30x = 231,166,956,478.68
  5. Step 5: Solve for x
    x = 231,166,956,478.68/523,563.30
  6. Step 6: Final answer
    x = 441,526.28

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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.