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Finding the Fourth Proportional to 685,816.50, 946,434.38 and 379,897.57

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Solution

The fourth proportional to 685,816.50, 946,434.38 and 379,897.57 is: 524,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,816.50 : 946,434.38 = 379,897.57 : x
  2. Step 2: Convert to fraction form
    685,816.50/946,434.38 = 379,897.57/x
  3. Step 3: Cross multiply
    685,816.50x = 946,434.38 × 379,897.57
  4. Step 4: Simplify right side
    685,816.50x = 359,548,121,126.46
  5. Step 5: Solve for x
    x = 359,548,121,126.46/685,816.50
  6. Step 6: Final answer
    x = 524,262.86

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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.