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Finding the Fourth Proportional to 456,895.99, 685,591.94 and 190,679.77

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Solution

The fourth proportional to 456,895.99, 685,591.94 and 190,679.77 is: 286,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,895.99 : 685,591.94 = 190,679.77 : x
  2. Step 2: Convert to fraction form
    456,895.99/685,591.94 = 190,679.77/x
  3. Step 3: Cross multiply
    456,895.99x = 685,591.94 × 190,679.77
  4. Step 4: Simplify right side
    456,895.99x = 130,728,513,433.05
  5. Step 5: Solve for x
    x = 130,728,513,433.05/456,895.99
  6. Step 6: Final answer
    x = 286,123.14

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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.