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Finding the Fourth Proportional to 474,810.30, 712,215.45 and 159,191.10

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Solution

The fourth proportional to 474,810.30, 712,215.45 and 159,191.10 is: 238,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,810.30 : 712,215.45 = 159,191.10 : x
  2. Step 2: Convert to fraction form
    474,810.30/712,215.45 = 159,191.10/x
  3. Step 3: Cross multiply
    474,810.30x = 712,215.45 × 159,191.10
  4. Step 4: Simplify right side
    474,810.30x = 113,378,360,922.50
  5. Step 5: Solve for x
    x = 113,378,360,922.50/474,810.30
  6. Step 6: Final answer
    x = 238,786.65

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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.