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Finding the Fourth Proportional to 380,363.14, 524,263.38 and 303,636.34

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Solution

The fourth proportional to 380,363.14, 524,263.38 and 303,636.34 is: 418,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,363.14 : 524,263.38 = 303,636.34 : x
  2. Step 2: Convert to fraction form
    380,363.14/524,263.38 = 303,636.34/x
  3. Step 3: Cross multiply
    380,363.14x = 524,263.38 × 303,636.34
  4. Step 4: Simplify right side
    380,363.14x = 159,185,413,899.23
  5. Step 5: Solve for x
    x = 159,185,413,899.23/380,363.14
  6. Step 6: Final answer
    x = 418,509.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.