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Finding the Fourth Proportional to 475,938.42, 713,677.98 and 276,309.06

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Solution

The fourth proportional to 475,938.42, 713,677.98 and 276,309.06 is: 414,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,938.42 : 713,677.98 = 276,309.06 : x
  2. Step 2: Convert to fraction form
    475,938.42/713,677.98 = 276,309.06/x
  3. Step 3: Cross multiply
    475,938.42x = 713,677.98 × 276,309.06
  4. Step 4: Simplify right side
    475,938.42x = 197,195,691,796.50
  5. Step 5: Solve for x
    x = 197,195,691,796.50/475,938.42
  6. Step 6: Final answer
    x = 414,330.27

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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.