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Finding the Fourth Proportional to 633,543, 874,311.17 and 347,063.10

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Solution

The fourth proportional to 633,543, 874,311.17 and 347,063.10 is: 478,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,543 : 874,311.17 = 347,063.10 : x
  2. Step 2: Convert to fraction form
    633,543/874,311.17 = 347,063.10/x
  3. Step 3: Cross multiply
    633,543x = 874,311.17 × 347,063.10
  4. Step 4: Simplify right side
    633,543x = 303,441,143,289.51
  5. Step 5: Solve for x
    x = 303,441,143,289.51/633,543
  6. Step 6: Final answer
    x = 478,959.03

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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.