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Finding the Fourth Proportional to 490,687.84, 736,030.84 and 153,754.30

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Solution

The fourth proportional to 490,687.84, 736,030.84 and 153,754.30 is: 230,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,687.84 : 736,030.84 = 153,754.30 : x
  2. Step 2: Convert to fraction form
    490,687.84/736,030.84 = 153,754.30/x
  3. Step 3: Cross multiply
    490,687.84x = 736,030.84 × 153,754.30
  4. Step 4: Simplify right side
    490,687.84x = 113,167,904,014.69
  5. Step 5: Solve for x
    x = 113,167,904,014.69/490,687.84
  6. Step 6: Final answer
    x = 230,631.16

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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.