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Finding the Fourth Proportional to 460,856.94, 691,135.89 and 176,532.36

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Solution

The fourth proportional to 460,856.94, 691,135.89 and 176,532.36 is: 264,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,856.94 : 691,135.89 = 176,532.36 : x
  2. Step 2: Convert to fraction form
    460,856.94/691,135.89 = 176,532.36/x
  3. Step 3: Cross multiply
    460,856.94x = 691,135.89 × 176,532.36
  4. Step 4: Simplify right side
    460,856.94x = 122,007,851,369.28
  5. Step 5: Solve for x
    x = 122,007,851,369.28/460,856.94
  6. Step 6: Final answer
    x = 264,741.27

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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.