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Finding the Fourth Proportional to 307,967.10, 461,950.65 and 181,995.90

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Solution

The fourth proportional to 307,967.10, 461,950.65 and 181,995.90 is: 272,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,967.10 : 461,950.65 = 181,995.90 : x
  2. Step 2: Convert to fraction form
    307,967.10/461,950.65 = 181,995.90/x
  3. Step 3: Cross multiply
    307,967.10x = 461,950.65 × 181,995.90
  4. Step 4: Simplify right side
    307,967.10x = 84,073,124,302.34
  5. Step 5: Solve for x
    x = 84,073,124,302.34/307,967.10
  6. Step 6: Final answer
    x = 272,993.85

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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.