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Finding the Fourth Proportional to 590,991, 886,486.50 and 147,759

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Solution

The fourth proportional to 590,991, 886,486.50 and 147,759 is: 221,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,991 : 886,486.50 = 147,759 : x
  2. Step 2: Convert to fraction form
    590,991/886,486.50 = 147,759/x
  3. Step 3: Cross multiply
    590,991x = 886,486.50 × 147,759
  4. Step 4: Simplify right side
    590,991x = 130,986,358,753.50
  5. Step 5: Solve for x
    x = 130,986,358,753.50/590,991
  6. Step 6: Final answer
    x = 221,638.50

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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.