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Finding the Fourth Proportional to 541,632.42, 747,364.73 and 312,199.11

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Solution

The fourth proportional to 541,632.42, 747,364.73 and 312,199.11 is: 430,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,632.42 : 747,364.73 = 312,199.11 : x
  2. Step 2: Convert to fraction form
    541,632.42/747,364.73 = 312,199.11/x
  3. Step 3: Cross multiply
    541,632.42x = 747,364.73 × 312,199.11
  4. Step 4: Simplify right side
    541,632.42x = 233,326,601,990.40
  5. Step 5: Solve for x
    x = 233,326,601,990.40/541,632.42
  6. Step 6: Final answer
    x = 430,784.04

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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.