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Finding the Fourth Proportional to 308,595.40, 463,670.70 and 196,329.40

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Solution

The fourth proportional to 308,595.40, 463,670.70 and 196,329.40 is: 294,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,595.40 : 463,670.70 = 196,329.40 : x
  2. Step 2: Convert to fraction form
    308,595.40/463,670.70 = 196,329.40/x
  3. Step 3: Cross multiply
    308,595.40x = 463,670.70 × 196,329.40
  4. Step 4: Simplify right side
    308,595.40x = 91,032,190,328.58
  5. Step 5: Solve for x
    x = 91,032,190,328.58/308,595.40
  6. Step 6: Final answer
    x = 294,988.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.