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Finding the Fourth Proportional to 392,225.69, 588,653.83 and 202,741.62

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Solution

The fourth proportional to 392,225.69, 588,653.83 and 202,741.62 is: 304,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,225.69 : 588,653.83 = 202,741.62 : x
  2. Step 2: Convert to fraction form
    392,225.69/588,653.83 = 202,741.62/x
  3. Step 3: Cross multiply
    392,225.69x = 588,653.83 × 202,741.62
  4. Step 4: Simplify right side
    392,225.69x = 119,344,629,159.38
  5. Step 5: Solve for x
    x = 119,344,629,159.38/392,225.69
  6. Step 6: Final answer
    x = 304,275.40

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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.