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Finding the Fourth Proportional to 333,773.02, 501,709.29 and 289,945.54

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Solution

The fourth proportional to 333,773.02, 501,709.29 and 289,945.54 is: 435,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,773.02 : 501,709.29 = 289,945.54 : x
  2. Step 2: Convert to fraction form
    333,773.02/501,709.29 = 289,945.54/x
  3. Step 3: Cross multiply
    333,773.02x = 501,709.29 × 289,945.54
  4. Step 4: Simplify right side
    333,773.02x = 145,468,371,012.07
  5. Step 5: Solve for x
    x = 145,468,371,012.07/333,773.02
  6. Step 6: Final answer
    x = 435,830.23

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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.