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Finding the Fourth Proportional to 474,929.80, 711,012.30 and 461,105.80

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Solution

The fourth proportional to 474,929.80, 711,012.30 and 461,105.80 is: 690,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,929.80 : 711,012.30 = 461,105.80 : x
  2. Step 2: Convert to fraction form
    474,929.80/711,012.30 = 461,105.80/x
  3. Step 3: Cross multiply
    474,929.80x = 711,012.30 × 461,105.80
  4. Step 4: Simplify right side
    474,929.80x = 327,851,895,401.34
  5. Step 5: Solve for x
    x = 327,851,895,401.34/474,929.80
  6. Step 6: Final answer
    x = 690,316.54

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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.