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Finding the Fourth Proportional to 406,824.75, 610,237.17 and 157,506.75

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Solution

The fourth proportional to 406,824.75, 610,237.17 and 157,506.75 is: 236,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,824.75 : 610,237.17 = 157,506.75 : x
  2. Step 2: Convert to fraction form
    406,824.75/610,237.17 = 157,506.75/x
  3. Step 3: Cross multiply
    406,824.75x = 610,237.17 × 157,506.75
  4. Step 4: Simplify right side
    406,824.75x = 96,116,473,375.90
  5. Step 5: Solve for x
    x = 96,116,473,375.90/406,824.75
  6. Step 6: Final answer
    x = 236,260.14

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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.