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Finding the Fourth Proportional to 543,678.64, 750,276.56 and 301,983.71

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Solution

The fourth proportional to 543,678.64, 750,276.56 and 301,983.71 is: 416,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,678.64 : 750,276.56 = 301,983.71 : x
  2. Step 2: Convert to fraction form
    543,678.64/750,276.56 = 301,983.71/x
  3. Step 3: Cross multiply
    543,678.64x = 750,276.56 × 301,983.71
  4. Step 4: Simplify right side
    543,678.64x = 226,571,296,118.41
  5. Step 5: Solve for x
    x = 226,571,296,118.41/543,678.64
  6. Step 6: Final answer
    x = 416,737.54

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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.