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Finding the Fourth Proportional to 846,422, 1,269,707.52 and 313,948.88

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Solution

The fourth proportional to 846,422, 1,269,707.52 and 313,948.88 is: 470,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,422 : 1,269,707.52 = 313,948.88 : x
  2. Step 2: Convert to fraction form
    846,422/1,269,707.52 = 313,948.88/x
  3. Step 3: Cross multiply
    846,422x = 1,269,707.52 × 313,948.88
  4. Step 4: Simplify right side
    846,422x = 398,623,253,831.58
  5. Step 5: Solve for x
    x = 398,623,253,831.58/846,422
  6. Step 6: Final answer
    x = 470,950.96

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