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Finding the Fourth Proportional to 344,223.50, 475,072.98 and 193,320.50

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Solution

The fourth proportional to 344,223.50, 475,072.98 and 193,320.50 is: 266,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,223.50 : 475,072.98 = 193,320.50 : x
  2. Step 2: Convert to fraction form
    344,223.50/475,072.98 = 193,320.50/x
  3. Step 3: Cross multiply
    344,223.50x = 475,072.98 × 193,320.50
  4. Step 4: Simplify right side
    344,223.50x = 91,841,346,030.09
  5. Step 5: Solve for x
    x = 91,841,346,030.09/344,223.50
  6. Step 6: Final answer
    x = 266,807.31

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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.