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Finding the Fourth Proportional to 407,313.81, 610,824.92 and 141,002.82

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Solution

The fourth proportional to 407,313.81, 610,824.92 and 141,002.82 is: 211,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,313.81 : 610,824.92 = 141,002.82 : x
  2. Step 2: Convert to fraction form
    407,313.81/610,824.92 = 141,002.82/x
  3. Step 3: Cross multiply
    407,313.81x = 610,824.92 × 141,002.82
  4. Step 4: Simplify right side
    407,313.81x = 86,128,035,541.26
  5. Step 5: Solve for x
    x = 86,128,035,541.26/407,313.81
  6. Step 6: Final answer
    x = 211,453.76

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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.