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Finding the Fourth Proportional to 340,518.94, 469,916.13 and 197,362.02

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Solution

The fourth proportional to 340,518.94, 469,916.13 and 197,362.02 is: 272,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,518.94 : 469,916.13 = 197,362.02 : x
  2. Step 2: Convert to fraction form
    340,518.94/469,916.13 = 197,362.02/x
  3. Step 3: Cross multiply
    340,518.94x = 469,916.13 × 197,362.02
  4. Step 4: Simplify right side
    340,518.94x = 92,743,596,506.40
  5. Step 5: Solve for x
    x = 92,743,596,506.40/340,518.94
  6. Step 6: Final answer
    x = 272,359.59

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Why These Related Problems?

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