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Finding the Fourth Proportional to 534,673.92, 801,948.42 and 214,812.84

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Solution

The fourth proportional to 534,673.92, 801,948.42 and 214,812.84 is: 322,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,673.92 : 801,948.42 = 214,812.84 : x
  2. Step 2: Convert to fraction form
    534,673.92/801,948.42 = 214,812.84/x
  3. Step 3: Cross multiply
    534,673.92x = 801,948.42 × 214,812.84
  4. Step 4: Simplify right side
    534,673.92x = 172,268,817,633.71
  5. Step 5: Solve for x
    x = 172,268,817,633.71/534,673.92
  6. Step 6: Final answer
    x = 322,194.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.