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Finding the Fourth Proportional to 307,613.80, 461,420.70 and 174,903.40

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Solution

The fourth proportional to 307,613.80, 461,420.70 and 174,903.40 is: 262,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,613.80 : 461,420.70 = 174,903.40 : x
  2. Step 2: Convert to fraction form
    307,613.80/461,420.70 = 174,903.40/x
  3. Step 3: Cross multiply
    307,613.80x = 461,420.70 × 174,903.40
  4. Step 4: Simplify right side
    307,613.80x = 80,704,049,260.38
  5. Step 5: Solve for x
    x = 80,704,049,260.38/307,613.80
  6. Step 6: Final answer
    x = 262,355.10

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1.5x scale

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.