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Finding the Fourth Proportional to 508,735.30, 763,212.30 and 153,785.20

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Solution

The fourth proportional to 508,735.30, 763,212.30 and 153,785.20 is: 230,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,735.30 : 763,212.30 = 153,785.20 : x
  2. Step 2: Convert to fraction form
    508,735.30/763,212.30 = 153,785.20/x
  3. Step 3: Cross multiply
    508,735.30x = 763,212.30 × 153,785.20
  4. Step 4: Simplify right side
    508,735.30x = 117,370,756,197.96
  5. Step 5: Solve for x
    x = 117,370,756,197.96/508,735.30
  6. Step 6: Final answer
    x = 230,710.86

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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.