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Finding the Fourth Proportional to 474,265.02, 711,397.53 and 193,782

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Solution

The fourth proportional to 474,265.02, 711,397.53 and 193,782 is: 290,673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,265.02 : 711,397.53 = 193,782 : x
  2. Step 2: Convert to fraction form
    474,265.02/711,397.53 = 193,782/x
  3. Step 3: Cross multiply
    474,265.02x = 711,397.53 × 193,782
  4. Step 4: Simplify right side
    474,265.02x = 137,856,036,158.46
  5. Step 5: Solve for x
    x = 137,856,036,158.46/474,265.02
  6. Step 6: Final answer
    x = 290,673.00

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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.