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Finding the Fourth Proportional to 519,722.30, 729,010.90 and 519,722.30

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Solution

The fourth proportional to 519,722.30, 729,010.90 and 519,722.30 is: 729,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,722.30 : 729,010.90 = 519,722.30 : x
  2. Step 2: Convert to fraction form
    519,722.30/729,010.90 = 519,722.30/x
  3. Step 3: Cross multiply
    519,722.30x = 729,010.90 × 519,722.30
  4. Step 4: Simplify right side
    519,722.30x = 378,883,221,673.07
  5. Step 5: Solve for x
    x = 378,883,221,673.07/519,722.30
  6. Step 6: Final answer
    x = 729,010.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.