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Finding the Fourth Proportional to 633,543.49, 874,311.78 and 347,063.50

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Solution

The fourth proportional to 633,543.49, 874,311.78 and 347,063.50 is: 478,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,543.49 : 874,311.78 = 347,063.50 : x
  2. Step 2: Convert to fraction form
    633,543.49/874,311.78 = 347,063.50/x
  3. Step 3: Cross multiply
    633,543.49x = 874,311.78 × 347,063.50
  4. Step 4: Simplify right side
    633,543.49x = 303,441,706,458.03
  5. Step 5: Solve for x
    x = 303,441,706,458.03/633,543.49
  6. Step 6: Final answer
    x = 478,959.55

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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.