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Finding the Fourth Proportional to 653,801.94, 980,759.34 and 180,487.38

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Solution

The fourth proportional to 653,801.94, 980,759.34 and 180,487.38 is: 270,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,801.94 : 980,759.34 = 180,487.38 : x
  2. Step 2: Convert to fraction form
    653,801.94/980,759.34 = 180,487.38/x
  3. Step 3: Cross multiply
    653,801.94x = 980,759.34 × 180,487.38
  4. Step 4: Simplify right side
    653,801.94x = 177,014,683,687.13
  5. Step 5: Solve for x
    x = 177,014,683,687.13/653,801.94
  6. Step 6: Final answer
    x = 270,746.65

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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.