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Finding the Fourth Proportional to 505,124.70, 697,299.41 and 333,144.69

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Solution

The fourth proportional to 505,124.70, 697,299.41 and 333,144.69 is: 459,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,124.70 : 697,299.41 = 333,144.69 : x
  2. Step 2: Convert to fraction form
    505,124.70/697,299.41 = 333,144.69/x
  3. Step 3: Cross multiply
    505,124.70x = 697,299.41 × 333,144.69
  4. Step 4: Simplify right side
    505,124.70x = 232,301,596,614.50
  5. Step 5: Solve for x
    x = 232,301,596,614.50/505,124.70
  6. Step 6: Final answer
    x = 459,889.60

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