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Finding the Fourth Proportional to 525,998.50, 725,877.93 and 299,644

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Solution

The fourth proportional to 525,998.50, 725,877.93 and 299,644 is: 413,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,998.50 : 725,877.93 = 299,644 : x
  2. Step 2: Convert to fraction form
    525,998.50/725,877.93 = 299,644/x
  3. Step 3: Cross multiply
    525,998.50x = 725,877.93 × 299,644
  4. Step 4: Simplify right side
    525,998.50x = 217,504,966,456.92
  5. Step 5: Solve for x
    x = 217,504,966,456.92/525,998.50
  6. Step 6: Final answer
    x = 413,508.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.