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Finding the Fourth Proportional to 376,590.84, 519,693.35 and 204,507.30

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Solution

The fourth proportional to 376,590.84, 519,693.35 and 204,507.30 is: 282,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,590.84 : 519,693.35 = 204,507.30 : x
  2. Step 2: Convert to fraction form
    376,590.84/519,693.35 = 204,507.30/x
  3. Step 3: Cross multiply
    376,590.84x = 519,693.35 × 204,507.30
  4. Step 4: Simplify right side
    376,590.84x = 106,281,083,836.46
  5. Step 5: Solve for x
    x = 106,281,083,836.46/376,590.84
  6. Step 6: Final answer
    x = 282,218.98

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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.