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Finding the Fourth Proportional to 509,370.93, 764,081.78 and 193,852.29

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Solution

The fourth proportional to 509,370.93, 764,081.78 and 193,852.29 is: 290,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,370.93 : 764,081.78 = 193,852.29 : x
  2. Step 2: Convert to fraction form
    509,370.93/764,081.78 = 193,852.29/x
  3. Step 3: Cross multiply
    509,370.93x = 764,081.78 × 193,852.29
  4. Step 4: Simplify right side
    509,370.93x = 148,119,001,831.02
  5. Step 5: Solve for x
    x = 148,119,001,831.02/509,370.93
  6. Step 6: Final answer
    x = 290,788.09

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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.