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Finding the Fourth Proportional to 589,885, 884,830.74 and 146,653

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Solution

The fourth proportional to 589,885, 884,830.74 and 146,653 is: 219,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,885 : 884,830.74 = 146,653 : x
  2. Step 2: Convert to fraction form
    589,885/884,830.74 = 146,653/x
  3. Step 3: Cross multiply
    589,885x = 884,830.74 × 146,653
  4. Step 4: Simplify right side
    589,885x = 129,763,082,513.22
  5. Step 5: Solve for x
    x = 129,763,082,513.22/589,885
  6. Step 6: Final answer
    x = 219,980.31

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1.5x scale

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.