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Finding the Fourth Proportional to 543,306.50, 749,725.46 and 301,570.04

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Solution

The fourth proportional to 543,306.50, 749,725.46 and 301,570.04 is: 416,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,306.50 : 749,725.46 = 301,570.04 : x
  2. Step 2: Convert to fraction form
    543,306.50/749,725.46 = 301,570.04/x
  3. Step 3: Cross multiply
    543,306.50x = 749,725.46 × 301,570.04
  4. Step 4: Simplify right side
    543,306.50x = 226,094,733,817.28
  5. Step 5: Solve for x
    x = 226,094,733,817.28/543,306.50
  6. Step 6: Final answer
    x = 416,145.83

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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.