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Finding the Fourth Proportional to 366,491.66, 505,752.14 and 205,346.21

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Solution

The fourth proportional to 366,491.66, 505,752.14 and 205,346.21 is: 283,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,491.66 : 505,752.14 = 205,346.21 : x
  2. Step 2: Convert to fraction form
    366,491.66/505,752.14 = 205,346.21/x
  3. Step 3: Cross multiply
    366,491.66x = 505,752.14 × 205,346.21
  4. Step 4: Simplify right side
    366,491.66x = 103,854,281,592.90
  5. Step 5: Solve for x
    x = 103,854,281,592.90/366,491.66
  6. Step 6: Final answer
    x = 283,374.21

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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.