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Finding the Fourth Proportional to 686,140.80, 946,874.37 and 384,334.80

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Solution

The fourth proportional to 686,140.80, 946,874.37 and 384,334.80 is: 530,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,140.80 : 946,874.37 = 384,334.80 : x
  2. Step 2: Convert to fraction form
    686,140.80/946,874.37 = 384,334.80/x
  3. Step 3: Cross multiply
    686,140.80x = 946,874.37 × 384,334.80
  4. Step 4: Simplify right side
    686,140.80x = 363,916,771,619.08
  5. Step 5: Solve for x
    x = 363,916,771,619.08/686,140.80
  6. Step 6: Final answer
    x = 530,382.06

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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.