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Finding the Fourth Proportional to 307,535.40, 461,303.10 and 295,725.60

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Solution

The fourth proportional to 307,535.40, 461,303.10 and 295,725.60 is: 443,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,535.40 : 461,303.10 = 295,725.60 : x
  2. Step 2: Convert to fraction form
    307,535.40/461,303.10 = 295,725.60/x
  3. Step 3: Cross multiply
    307,535.40x = 461,303.10 × 295,725.60
  4. Step 4: Simplify right side
    307,535.40x = 136,419,136,029.36
  5. Step 5: Solve for x
    x = 136,419,136,029.36/307,535.40
  6. Step 6: Final answer
    x = 443,588.40

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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.