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Finding the Fourth Proportional to 597,240, 824,191.20 and 328,968

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Solution

The fourth proportional to 597,240, 824,191.20 and 328,968 is: 453,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,240 : 824,191.20 = 328,968 : x
  2. Step 2: Convert to fraction form
    597,240/824,191.20 = 328,968/x
  3. Step 3: Cross multiply
    597,240x = 824,191.20 × 328,968
  4. Step 4: Simplify right side
    597,240x = 271,132,530,681.60
  5. Step 5: Solve for x
    x = 271,132,530,681.60/597,240
  6. Step 6: Final answer
    x = 453,975.84

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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.