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Finding the Fourth Proportional to 561,126.92, 841,952.81 and 324,668.48

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Solution

The fourth proportional to 561,126.92, 841,952.81 and 324,668.48 is: 487,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,126.92 : 841,952.81 = 324,668.48 : x
  2. Step 2: Convert to fraction form
    561,126.92/841,952.81 = 324,668.48/x
  3. Step 3: Cross multiply
    561,126.92x = 841,952.81 × 324,668.48
  4. Step 4: Simplify right side
    561,126.92x = 273,355,535,656.34
  5. Step 5: Solve for x
    x = 273,355,535,656.34/561,126.92
  6. Step 6: Final answer
    x = 487,154.56

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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.