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Finding the Fourth Proportional to 590,986, 886,479 and 147,754

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Solution

The fourth proportional to 590,986, 886,479 and 147,754 is: 221,631

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,986 : 886,479 = 147,754 : x
  2. Step 2: Convert to fraction form
    590,986/886,479 = 147,754/x
  3. Step 3: Cross multiply
    590,986x = 886,479 × 147,754
  4. Step 4: Simplify right side
    590,986x = 130,980,818,166
  5. Step 5: Solve for x
    x = 130,980,818,166/590,986
  6. Step 6: Final answer
    x = 221,631

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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.