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Finding the Fourth Proportional to 426,954.43, 589,468.82 and 266,045.91

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Solution

The fourth proportional to 426,954.43, 589,468.82 and 266,045.91 is: 367,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,954.43 : 589,468.82 = 266,045.91 : x
  2. Step 2: Convert to fraction form
    426,954.43/589,468.82 = 266,045.91/x
  3. Step 3: Cross multiply
    426,954.43x = 589,468.82 × 266,045.91
  4. Step 4: Simplify right side
    426,954.43x = 156,825,768,633.53
  5. Step 5: Solve for x
    x = 156,825,768,633.53/426,954.43
  6. Step 6: Final answer
    x = 367,312.66

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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.