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Finding the Fourth Proportional to 406,549.70, 610,383.14 and 207,004.17

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Solution

The fourth proportional to 406,549.70, 610,383.14 and 207,004.17 is: 310,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,549.70 : 610,383.14 = 207,004.17 : x
  2. Step 2: Convert to fraction form
    406,549.70/610,383.14 = 207,004.17/x
  3. Step 3: Cross multiply
    406,549.70x = 610,383.14 × 207,004.17
  4. Step 4: Simplify right side
    406,549.70x = 126,351,855,277.69
  5. Step 5: Solve for x
    x = 126,351,855,277.69/406,549.70
  6. Step 6: Final answer
    x = 310,790.67

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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.