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Finding the Fourth Proportional to 494,048.80, 741,764.40 and 307,424.80

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Solution

The fourth proportional to 494,048.80, 741,764.40 and 307,424.80 is: 461,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,048.80 : 741,764.40 = 307,424.80 : x
  2. Step 2: Convert to fraction form
    494,048.80/741,764.40 = 307,424.80/x
  3. Step 3: Cross multiply
    494,048.80x = 741,764.40 × 307,424.80
  4. Step 4: Simplify right side
    494,048.80x = 228,036,772,317.12
  5. Step 5: Solve for x
    x = 228,036,772,317.12/494,048.80
  6. Step 6: Final answer
    x = 461,567.30

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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.