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Finding the Fourth Proportional to 474,931.40, 711,792.30 and 194,131.40

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Solution

The fourth proportional to 474,931.40, 711,792.30 and 194,131.40 is: 290,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,931.40 : 711,792.30 = 194,131.40 : x
  2. Step 2: Convert to fraction form
    474,931.40/711,792.30 = 194,131.40/x
  3. Step 3: Cross multiply
    474,931.40x = 711,792.30 × 194,131.40
  4. Step 4: Simplify right side
    474,931.40x = 138,181,235,708.22
  5. Step 5: Solve for x
    x = 138,181,235,708.22/474,931.40
  6. Step 6: Final answer
    x = 290,949.88

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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.