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Finding the Fourth Proportional to 376,509.74, 519,587.90 and 204,429.76

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Solution

The fourth proportional to 376,509.74, 519,587.90 and 204,429.76 is: 282,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,509.74 : 519,587.90 = 204,429.76 : x
  2. Step 2: Convert to fraction form
    376,509.74/519,587.90 = 204,429.76/x
  3. Step 3: Cross multiply
    376,509.74x = 519,587.90 × 204,429.76
  4. Step 4: Simplify right side
    376,509.74x = 106,219,228,141.40
  5. Step 5: Solve for x
    x = 106,219,228,141.40/376,509.74
  6. Step 6: Final answer
    x = 282,115.49

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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.