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Finding the Fourth Proportional to 307,271.68, 460,891.11 and 117,822.80

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Solution

The fourth proportional to 307,271.68, 460,891.11 and 117,822.80 is: 176,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,271.68 : 460,891.11 = 117,822.80 : x
  2. Step 2: Convert to fraction form
    307,271.68/460,891.11 = 117,822.80/x
  3. Step 3: Cross multiply
    307,271.68x = 460,891.11 × 117,822.80
  4. Step 4: Simplify right side
    307,271.68x = 54,303,482,669.37
  5. Step 5: Solve for x
    x = 54,303,482,669.37/307,271.68
  6. Step 6: Final answer
    x = 176,727.91

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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.