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Finding the Fourth Proportional to 329,782.69, 454,478.13 and 264,297.14

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Solution

The fourth proportional to 329,782.69, 454,478.13 and 264,297.14 is: 364,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,782.69 : 454,478.13 = 264,297.14 : x
  2. Step 2: Convert to fraction form
    329,782.69/454,478.13 = 264,297.14/x
  3. Step 3: Cross multiply
    329,782.69x = 454,478.13 × 264,297.14
  4. Step 4: Simplify right side
    329,782.69x = 120,117,267,679.16
  5. Step 5: Solve for x
    x = 120,117,267,679.16/329,782.69
  6. Step 6: Final answer
    x = 364,231.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.