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Finding the Fourth Proportional to 590,996, 886,494 and 147,764

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Solution

The fourth proportional to 590,996, 886,494 and 147,764 is: 221,646

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,996 : 886,494 = 147,764 : x
  2. Step 2: Convert to fraction form
    590,996/886,494 = 147,764/x
  3. Step 3: Cross multiply
    590,996x = 886,494 × 147,764
  4. Step 4: Simplify right side
    590,996x = 130,991,899,416
  5. Step 5: Solve for x
    x = 130,991,899,416/590,996
  6. Step 6: Final answer
    x = 221,646

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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.