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Finding the Fourth Proportional to 340,813.82, 470,324.94 and 197,658.74

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Solution

The fourth proportional to 340,813.82, 470,324.94 and 197,658.74 is: 272,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,813.82 : 470,324.94 = 197,658.74 : x
  2. Step 2: Convert to fraction form
    340,813.82/470,324.94 = 197,658.74/x
  3. Step 3: Cross multiply
    340,813.82x = 470,324.94 × 197,658.74
  4. Step 4: Simplify right side
    340,813.82x = 92,963,835,030.98
  5. Step 5: Solve for x
    x = 92,963,835,030.98/340,813.82
  6. Step 6: Final answer
    x = 272,770.14

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1.5x scale

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.