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Finding the Fourth Proportional to 406,473.30, 610,401.15 and 301,410.90

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Solution

The fourth proportional to 406,473.30, 610,401.15 and 301,410.90 is: 452,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,473.30 : 610,401.15 = 301,410.90 : x
  2. Step 2: Convert to fraction form
    406,473.30/610,401.15 = 301,410.90/x
  3. Step 3: Cross multiply
    406,473.30x = 610,401.15 × 301,410.90
  4. Step 4: Simplify right side
    406,473.30x = 183,981,559,982.54
  5. Step 5: Solve for x
    x = 183,981,559,982.54/406,473.30
  6. Step 6: Final answer
    x = 452,628.89

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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.