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Finding the Fourth Proportional to 406,947.26, 610,420.90 and 157,629.26

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Solution

The fourth proportional to 406,947.26, 610,420.90 and 157,629.26 is: 236,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,947.26 : 610,420.90 = 157,629.26 : x
  2. Step 2: Convert to fraction form
    406,947.26/610,420.90 = 157,629.26/x
  3. Step 3: Cross multiply
    406,947.26x = 610,420.90 × 157,629.26
  4. Step 4: Simplify right side
    406,947.26x = 96,220,194,755.53
  5. Step 5: Solve for x
    x = 96,220,194,755.53/406,947.26
  6. Step 6: Final answer
    x = 236,443.89

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1.5x scale

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.