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Finding the Fourth Proportional to 536,013.06, 739,699.46 and 294,311.30

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Solution

The fourth proportional to 536,013.06, 739,699.46 and 294,311.30 is: 406,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,013.06 : 739,699.46 = 294,311.30 : x
  2. Step 2: Convert to fraction form
    536,013.06/739,699.46 = 294,311.30/x
  3. Step 3: Cross multiply
    536,013.06x = 739,699.46 × 294,311.30
  4. Step 4: Simplify right side
    536,013.06x = 217,701,909,681.90
  5. Step 5: Solve for x
    x = 217,701,909,681.90/536,013.06
  6. Step 6: Final answer
    x = 406,150.38

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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.