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Finding the Fourth Proportional to 474,927.30, 711,008.55 and 461,103.30

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Solution

The fourth proportional to 474,927.30, 711,008.55 and 461,103.30 is: 690,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,927.30 : 711,008.55 = 461,103.30 : x
  2. Step 2: Convert to fraction form
    474,927.30/711,008.55 = 461,103.30/x
  3. Step 3: Cross multiply
    474,927.30x = 711,008.55 × 461,103.30
  4. Step 4: Simplify right side
    474,927.30x = 327,848,388,733.22
  5. Step 5: Solve for x
    x = 327,848,388,733.22/474,927.30
  6. Step 6: Final answer
    x = 690,312.79

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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.