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Finding the Fourth Proportional to 523,624.28, 785,420.73 and 144,568.16

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Solution

The fourth proportional to 523,624.28, 785,420.73 and 144,568.16 is: 216,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,624.28 : 785,420.73 = 144,568.16 : x
  2. Step 2: Convert to fraction form
    523,624.28/785,420.73 = 144,568.16/x
  3. Step 3: Cross multiply
    523,624.28x = 785,420.73 × 144,568.16
  4. Step 4: Simplify right side
    523,624.28x = 113,546,825,834.85
  5. Step 5: Solve for x
    x = 113,546,825,834.85/523,624.28
  6. Step 6: Final answer
    x = 216,847.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.