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Finding the Fourth Proportional to 380,097.84, 569,978.28 and 202,571.76

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Solution

The fourth proportional to 380,097.84, 569,978.28 and 202,571.76 is: 303,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,097.84 : 569,978.28 = 202,571.76 : x
  2. Step 2: Convert to fraction form
    380,097.84/569,978.28 = 202,571.76/x
  3. Step 3: Cross multiply
    380,097.84x = 569,978.28 × 202,571.76
  4. Step 4: Simplify right side
    380,097.84x = 115,461,503,341.37
  5. Step 5: Solve for x
    x = 115,461,503,341.37/380,097.84
  6. Step 6: Final answer
    x = 303,767.85

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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.