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Finding the Fourth Proportional to 690,709.64, 953,164.94 and 384,785.60

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Solution

The fourth proportional to 690,709.64, 953,164.94 and 384,785.60 is: 530,996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,709.64 : 953,164.94 = 384,785.60 : x
  2. Step 2: Convert to fraction form
    690,709.64/953,164.94 = 384,785.60/x
  3. Step 3: Cross multiply
    690,709.64x = 953,164.94 × 384,785.60
  4. Step 4: Simplify right side
    690,709.64x = 366,764,136,647.11
  5. Step 5: Solve for x
    x = 366,764,136,647.11/690,709.64
  6. Step 6: Final answer
    x = 530,996.12

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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.