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Finding the Fourth Proportional to 384,746.73, 530,949.38 and 214,980.99

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Solution

The fourth proportional to 384,746.73, 530,949.38 and 214,980.99 is: 296,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,746.73 : 530,949.38 = 214,980.99 : x
  2. Step 2: Convert to fraction form
    384,746.73/530,949.38 = 214,980.99/x
  3. Step 3: Cross multiply
    384,746.73x = 530,949.38 × 214,980.99
  4. Step 4: Simplify right side
    384,746.73x = 114,144,022,277.38
  5. Step 5: Solve for x
    x = 114,144,022,277.38/384,746.73
  6. Step 6: Final answer
    x = 296,673.14

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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.