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Finding the Fourth Proportional to 307,043.59, 460,477.90 and 194,554.03

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Solution

The fourth proportional to 307,043.59, 460,477.90 and 194,554.03 is: 291,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,043.59 : 460,477.90 = 194,554.03 : x
  2. Step 2: Convert to fraction form
    307,043.59/460,477.90 = 194,554.03/x
  3. Step 3: Cross multiply
    307,043.59x = 460,477.90 × 194,554.03
  4. Step 4: Simplify right side
    307,043.59x = 89,587,831,170.94
  5. Step 5: Solve for x
    x = 89,587,831,170.94/307,043.59
  6. Step 6: Final answer
    x = 291,775.61

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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.