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Finding the Fourth Proportional to 313,223.49, 431,963.55 and 264,926.84

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Solution

The fourth proportional to 313,223.49, 431,963.55 and 264,926.84 is: 365,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,223.49 : 431,963.55 = 264,926.84 : x
  2. Step 2: Convert to fraction form
    313,223.49/431,963.55 = 264,926.84/x
  3. Step 3: Cross multiply
    313,223.49x = 431,963.55 × 264,926.84
  4. Step 4: Simplify right side
    313,223.49x = 114,438,736,136.86
  5. Step 5: Solve for x
    x = 114,438,736,136.86/313,223.49
  6. Step 6: Final answer
    x = 365,358.09

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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.