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Finding the Fourth Proportional to 429,694.65, 643,324.02 and 357,064.38

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Solution

The fourth proportional to 429,694.65, 643,324.02 and 357,064.38 is: 534,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,694.65 : 643,324.02 = 357,064.38 : x
  2. Step 2: Convert to fraction form
    429,694.65/643,324.02 = 357,064.38/x
  3. Step 3: Cross multiply
    429,694.65x = 643,324.02 × 357,064.38
  4. Step 4: Simplify right side
    429,694.65x = 229,708,092,340.41
  5. Step 5: Solve for x
    x = 229,708,092,340.41/429,694.65
  6. Step 6: Final answer
    x = 534,584.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.