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Finding the Fourth Proportional to 598,564.89, 897,996.78 and 177,840.77

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Solution

The fourth proportional to 598,564.89, 897,996.78 and 177,840.77 is: 266,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,564.89 : 897,996.78 = 177,840.77 : x
  2. Step 2: Convert to fraction form
    598,564.89/897,996.78 = 177,840.77/x
  3. Step 3: Cross multiply
    598,564.89x = 897,996.78 × 177,840.77
  4. Step 4: Simplify right side
    598,564.89x = 159,700,434,322.74
  5. Step 5: Solve for x
    x = 159,700,434,322.74/598,564.89
  6. Step 6: Final answer
    x = 266,805.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.