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Finding the Fourth Proportional to 413,136.84, 570,150.58 and 231,839.40

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Solution

The fourth proportional to 413,136.84, 570,150.58 and 231,839.40 is: 319,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,136.84 : 570,150.58 = 231,839.40 : x
  2. Step 2: Convert to fraction form
    413,136.84/570,150.58 = 231,839.40/x
  3. Step 3: Cross multiply
    413,136.84x = 570,150.58 × 231,839.40
  4. Step 4: Simplify right side
    413,136.84x = 132,183,368,376.85
  5. Step 5: Solve for x
    x = 132,183,368,376.85/413,136.84
  6. Step 6: Final answer
    x = 319,950.57

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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.