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Finding the Fourth Proportional to 345,996.61, 477,489.16 and 193,048.17

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Solution

The fourth proportional to 345,996.61, 477,489.16 and 193,048.17 is: 266,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,996.61 : 477,489.16 = 193,048.17 : x
  2. Step 2: Convert to fraction form
    345,996.61/477,489.16 = 193,048.17/x
  3. Step 3: Cross multiply
    345,996.61x = 477,489.16 × 193,048.17
  4. Step 4: Simplify right side
    345,996.61x = 92,178,406,145.39
  5. Step 5: Solve for x
    x = 92,178,406,145.39/345,996.61
  6. Step 6: Final answer
    x = 266,414.19

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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.