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Finding the Fourth Proportional to 406,707.18, 610,057.68 and 122,396.50

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Solution

The fourth proportional to 406,707.18, 610,057.68 and 122,396.50 is: 183,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,707.18 : 610,057.68 = 122,396.50 : x
  2. Step 2: Convert to fraction form
    406,707.18/610,057.68 = 122,396.50/x
  3. Step 3: Cross multiply
    406,707.18x = 610,057.68 × 122,396.50
  4. Step 4: Simplify right side
    406,707.18x = 74,668,924,830.12
  5. Step 5: Solve for x
    x = 74,668,924,830.12/406,707.18
  6. Step 6: Final answer
    x = 183,593.82

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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.