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Finding the Fourth Proportional to 590,025, 885,694.01 and 305,639.67

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Solution

The fourth proportional to 590,025, 885,694.01 and 305,639.67 is: 458,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,025 : 885,694.01 = 305,639.67 : x
  2. Step 2: Convert to fraction form
    590,025/885,694.01 = 305,639.67/x
  3. Step 3: Cross multiply
    590,025x = 885,694.01 × 305,639.67
  4. Step 4: Simplify right side
    590,025x = 270,703,223,409.18
  5. Step 5: Solve for x
    x = 270,703,223,409.18/590,025
  6. Step 6: Final answer
    x = 458,799.58

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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.