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Finding the Fourth Proportional to 523,742.70, 785,598.46 and 144,686.25

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Solution

The fourth proportional to 523,742.70, 785,598.46 and 144,686.25 is: 217,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,742.70 : 785,598.46 = 144,686.25 : x
  2. Step 2: Convert to fraction form
    523,742.70/785,598.46 = 144,686.25/x
  3. Step 3: Cross multiply
    523,742.70x = 785,598.46 × 144,686.25
  4. Step 4: Simplify right side
    523,742.70x = 113,665,295,183.18
  5. Step 5: Solve for x
    x = 113,665,295,183.18/523,742.70
  6. Step 6: Final answer
    x = 217,025.07

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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.