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Finding the Fourth Proportional to 509,474.50, 702,333.81 and 356,036.31

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Solution

The fourth proportional to 509,474.50, 702,333.81 and 356,036.31 is: 490,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,474.50 : 702,333.81 = 356,036.31 : x
  2. Step 2: Convert to fraction form
    509,474.50/702,333.81 = 356,036.31/x
  3. Step 3: Cross multiply
    509,474.50x = 702,333.81 × 356,036.31
  4. Step 4: Simplify right side
    509,474.50x = 250,056,338,100.64
  5. Step 5: Solve for x
    x = 250,056,338,100.64/509,474.50
  6. Step 6: Final answer
    x = 490,812.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.