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Finding the Fourth Proportional to 340,602.27, 470,030.81 and 197,445.30

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Solution

The fourth proportional to 340,602.27, 470,030.81 and 197,445.30 is: 272,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,602.27 : 470,030.81 = 197,445.30 : x
  2. Step 2: Convert to fraction form
    340,602.27/470,030.81 = 197,445.30/x
  3. Step 3: Cross multiply
    340,602.27x = 470,030.81 × 197,445.30
  4. Step 4: Simplify right side
    340,602.27x = 92,805,371,939.54
  5. Step 5: Solve for x
    x = 92,805,371,939.54/340,602.27
  6. Step 6: Final answer
    x = 272,474.32

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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.