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Finding the Fourth Proportional to 412,838.10, 577,273.50 and 412,838.10

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Solution

The fourth proportional to 412,838.10, 577,273.50 and 412,838.10 is: 577,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,838.10 : 577,273.50 = 412,838.10 : x
  2. Step 2: Convert to fraction form
    412,838.10/577,273.50 = 412,838.10/x
  3. Step 3: Cross multiply
    412,838.10x = 577,273.50 × 412,838.10
  4. Step 4: Simplify right side
    412,838.10x = 238,320,494,920.35
  5. Step 5: Solve for x
    x = 238,320,494,920.35/412,838.10
  6. Step 6: Final answer
    x = 577,273.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.