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Finding the Fourth Proportional to 508,307.70, 762,215.31 and 153,255.54

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Solution

The fourth proportional to 508,307.70, 762,215.31 and 153,255.54 is: 229,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,307.70 : 762,215.31 = 153,255.54 : x
  2. Step 2: Convert to fraction form
    508,307.70/762,215.31 = 153,255.54/x
  3. Step 3: Cross multiply
    508,307.70x = 762,215.31 × 153,255.54
  4. Step 4: Simplify right side
    508,307.70x = 116,813,718,930.32
  5. Step 5: Solve for x
    x = 116,813,718,930.32/508,307.70
  6. Step 6: Final answer
    x = 229,809.07

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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.