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Finding the Fourth Proportional to 536,124.92, 739,857.53 and 294,412.55

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Solution

The fourth proportional to 536,124.92, 739,857.53 and 294,412.55 is: 406,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,124.92 : 739,857.53 = 294,412.55 : x
  2. Step 2: Convert to fraction form
    536,124.92/739,857.53 = 294,412.55/x
  3. Step 3: Cross multiply
    536,124.92x = 739,857.53 × 294,412.55
  4. Step 4: Simplify right side
    536,124.92x = 217,823,336,872.65
  5. Step 5: Solve for x
    x = 217,823,336,872.65/536,124.92
  6. Step 6: Final answer
    x = 406,292.14

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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.