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Finding the Fourth Proportional to 393,451.08, 542,014.14 and 312,852.84

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Solution

The fourth proportional to 393,451.08, 542,014.14 and 312,852.84 is: 430,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,451.08 : 542,014.14 = 312,852.84 : x
  2. Step 2: Convert to fraction form
    393,451.08/542,014.14 = 312,852.84/x
  3. Step 3: Cross multiply
    393,451.08x = 542,014.14 × 312,852.84
  4. Step 4: Simplify right side
    393,451.08x = 169,570,663,019.16
  5. Step 5: Solve for x
    x = 169,570,663,019.16/393,451.08
  6. Step 6: Final answer
    x = 430,982.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.