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Finding the Fourth Proportional to 463,950.79, 640,069.42 and 289,419.43

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Solution

The fourth proportional to 463,950.79, 640,069.42 and 289,419.43 is: 399,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,950.79 : 640,069.42 = 289,419.43 : x
  2. Step 2: Convert to fraction form
    463,950.79/640,069.42 = 289,419.43/x
  3. Step 3: Cross multiply
    463,950.79x = 640,069.42 × 289,419.43
  4. Step 4: Simplify right side
    463,950.79x = 185,248,525,301.91
  5. Step 5: Solve for x
    x = 185,248,525,301.91/463,950.79
  6. Step 6: Final answer
    x = 399,284.86

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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.