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Finding the Fourth Proportional to 380,684.87, 571,099.39 and 152,998.16

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Solution

The fourth proportional to 380,684.87, 571,099.39 and 152,998.16 is: 229,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,684.87 : 571,099.39 = 152,998.16 : x
  2. Step 2: Convert to fraction form
    380,684.87/571,099.39 = 152,998.16/x
  3. Step 3: Cross multiply
    380,684.87x = 571,099.39 × 152,998.16
  4. Step 4: Simplify right side
    380,684.87x = 87,377,154,801.87
  5. Step 5: Solve for x
    x = 87,377,154,801.87/380,684.87
  6. Step 6: Final answer
    x = 229,526.21

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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.